Finding the Third Proportional to 491,046 and 766,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,046 : 766,414.50 = 766,414.50 : x
2. Step 2: Convert to fraction form
   491,046/766,414.50 = 766,414.50/x
3. Step 3: Cross multiply
   491,046x = 766,414.50 × 766,414.50
4. Step 4: Simplify right side
   491,046x = 587,391,185,810.25
5. Step 5: Solve for x
   x = 587,391,185,810.25/491,046
6. Step 6: Final answer
   x = 1,196,203.99