Finding the Third Proportional to 491,053.50 and 766,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,053.50 : 766,426.50 = 766,426.50 : x
2. Step 2: Convert to fraction form
   491,053.50/766,426.50 = 766,426.50/x
3. Step 3: Cross multiply
   491,053.50x = 766,426.50 × 766,426.50
4. Step 4: Simplify right side
   491,053.50x = 587,409,579,902.25
5. Step 5: Solve for x
   x = 587,409,579,902.25/491,053.50
6. Step 6: Final answer
   x = 1,196,223.18