Finding the Third Proportional to 498,961 and 781,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498,961 : 781,668.50 = 781,668.50 : x
2. Step 2: Convert to fraction form
   498,961/781,668.50 = 781,668.50/x
3. Step 3: Cross multiply
   498,961x = 781,668.50 × 781,668.50
4. Step 4: Simplify right side
   498,961x = 611,005,643,892.25
5. Step 5: Solve for x
   x = 611,005,643,892.25/498,961
6. Step 6: Final answer
   x = 1,224,555.91