Finding the Third Proportional to 74,151 and 114,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,151 : 114,772.50 = 114,772.50 : x
2. Step 2: Convert to fraction form
   74,151/114,772.50 = 114,772.50/x
3. Step 3: Cross multiply
   74,151x = 114,772.50 × 114,772.50
4. Step 4: Simplify right side
   74,151x = 13,172,726,756.25
5. Step 5: Solve for x
   x = 13,172,726,756.25/74,151
6. Step 6: Final answer
   x = 177,647.32