Finding the Third Proportional to 74,745 and 174,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,745 : 174,658.50 = 174,658.50 : x
2. Step 2: Convert to fraction form
   74,745/174,658.50 = 174,658.50/x
3. Step 3: Cross multiply
   74,745x = 174,658.50 × 174,658.50
4. Step 4: Simplify right side
   74,745x = 30,505,591,622.25
5. Step 5: Solve for x
   x = 30,505,591,622.25/74,745
6. Step 6: Final answer
   x = 408,128.86