Finding the Third Proportional to 138,827,424,850 and 195,499,606,146

Step by Step Solution

1. Step 1: Write the proportion equation
   138,827,424,850 : 195,499,606,146 = 195,499,606,146 : x
2. Step 2: Convert to fraction form
   138,827,424,850/195,499,606,146 = 195,499,606,146/x
3. Step 3: Cross multiply
   138,827,424,850x = 195,499,606,146 × 195,499,606,146
4. Step 4: Simplify right side
   138,827,424,850x = 38,220,096,003,241,121,153,024
5. Step 5: Solve for x
   x = 38,220,096,003,241,121,153,024/138,827,424,850
6. Step 6: Final answer
   x = 275,306,525,670.54