Finding the Third Proportional to 202,298.50 and 442,693.69

Step by Step Solution

1. Step 1: Write the proportion equation
   202,298.50 : 442,693.69 = 442,693.69 : x
2. Step 2: Convert to fraction form
   202,298.50/442,693.69 = 442,693.69/x
3. Step 3: Cross multiply
   202,298.50x = 442,693.69 × 442,693.69
4. Step 4: Simplify right side
   202,298.50x = 195,977,700,952.35
5. Step 5: Solve for x
   x = 195,977,700,952.35/202,298.50
6. Step 6: Final answer
   x = 968,755.09