Finding the Third Proportional to 674,242,501,578 and 1,591,091,623,128

Step by Step Solution

1. Step 1: Write the proportion equation
   674,242,501,578 : 1,591,091,623,128 = 1,591,091,623,128 : x
2. Step 2: Convert to fraction form
   674,242,501,578/1,591,091,623,128 = 1,591,091,623,128/x
3. Step 3: Cross multiply
   674,242,501,578x = 1,591,091,623,128 × 1,591,091,623,128
4. Step 4: Simplify right side
   674,242,501,578x = 2,531,572,553,188,093,326,262,272
5. Step 5: Solve for x
   x = 2,531,572,553,188,093,326,262,272/674,242,501,578
6. Step 6: Final answer
   x = 3,754,691,445,975.58