Finding the Third Proportional to 492,723 and 646,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   492,723 : 646,987.50 = 646,987.50 : x
2. Step 2: Convert to fraction form
   492,723/646,987.50 = 646,987.50/x
3. Step 3: Cross multiply
   492,723x = 646,987.50 × 646,987.50
4. Step 4: Simplify right side
   492,723x = 418,592,825,156.25
5. Step 5: Solve for x
   x = 418,592,825,156.25/492,723
6. Step 6: Final answer
   x = 849,550.00