Finding the Third Proportional to 117,625.50 and 177,534

Step by Step Solution

1. Step 1: Write the proportion equation
   117,625.50 : 177,534 = 177,534 : x
2. Step 2: Convert to fraction form
   117,625.50/177,534 = 177,534/x
3. Step 3: Cross multiply
   117,625.50x = 177,534 × 177,534
4. Step 4: Simplify right side
   117,625.50x = 31,518,321,156
5. Step 5: Solve for x
   x = 31,518,321,156/117,625.50
6. Step 6: Final answer
   x = 267,954.83