Finding the Third Proportional to 75,007.27 and 177,061.57

Step by Step Solution

1. Step 1: Write the proportion equation
   75,007.27 : 177,061.57 = 177,061.57 : x
2. Step 2: Convert to fraction form
   75,007.27/177,061.57 = 177,061.57/x
3. Step 3: Cross multiply
   75,007.27x = 177,061.57 × 177,061.57
4. Step 4: Simplify right side
   75,007.27x = 31,350,799,681.53
5. Step 5: Solve for x
   x = 31,350,799,681.53/75,007.27
6. Step 6: Final answer
   x = 417,970.17