Finding the Third Proportional to 42,144 and 88,344

Step by Step Solution

1. Step 1: Write the proportion equation
   42,144 : 88,344 = 88,344 : x
2. Step 2: Convert to fraction form
   42,144/88,344 = 88,344/x
3. Step 3: Cross multiply
   42,144x = 88,344 × 88,344
4. Step 4: Simplify right side
   42,144x = 7,804,662,336
5. Step 5: Solve for x
   x = 7,804,662,336/42,144
6. Step 6: Final answer
   x = 185,190.36