Finding the Third Proportional to 414,882 and 640,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,882 : 640,753.50 = 640,753.50 : x
2. Step 2: Convert to fraction form
   414,882/640,753.50 = 640,753.50/x
3. Step 3: Cross multiply
   414,882x = 640,753.50 × 640,753.50
4. Step 4: Simplify right side
   414,882x = 410,565,047,762.25
5. Step 5: Solve for x
   x = 410,565,047,762.25/414,882
6. Step 6: Final answer
   x = 989,594.75