Finding the Third Proportional to 200,488.50 and 417,564

Step by Step Solution

1. Step 1: Write the proportion equation
   200,488.50 : 417,564 = 417,564 : x
2. Step 2: Convert to fraction form
   200,488.50/417,564 = 417,564/x
3. Step 3: Cross multiply
   200,488.50x = 417,564 × 417,564
4. Step 4: Simplify right side
   200,488.50x = 174,359,694,096
5. Step 5: Solve for x
   x = 174,359,694,096/200,488.50
6. Step 6: Final answer
   x = 869,674.29