Finding the Third Proportional to 147,022 and 207,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,022 : 207,043.50 = 207,043.50 : x
2. Step 2: Convert to fraction form
   147,022/207,043.50 = 207,043.50/x
3. Step 3: Cross multiply
   147,022x = 207,043.50 × 207,043.50
4. Step 4: Simplify right side
   147,022x = 42,867,010,892.25
5. Step 5: Solve for x
   x = 42,867,010,892.25/147,022
6. Step 6: Final answer
   x = 291,568.68