Finding the Third Proportional to 74,478.38 and 175,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,478.38 : 175,666.50 = 175,666.50 : x
2. Step 2: Convert to fraction form
   74,478.38/175,666.50 = 175,666.50/x
3. Step 3: Cross multiply
   74,478.38x = 175,666.50 × 175,666.50
4. Step 4: Simplify right side
   74,478.38x = 30,858,719,222.25
5. Step 5: Solve for x
   x = 30,858,719,222.25/74,478.38
6. Step 6: Final answer
   x = 414,331.26