Finding the Third Proportional to 513,787 and 790,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   513,787 : 790,687.50 = 790,687.50 : x
2. Step 2: Convert to fraction form
   513,787/790,687.50 = 790,687.50/x
3. Step 3: Cross multiply
   513,787x = 790,687.50 × 790,687.50
4. Step 4: Simplify right side
   513,787x = 625,186,722,656.25
5. Step 5: Solve for x
   x = 625,186,722,656.25/513,787
6. Step 6: Final answer
   x = 1,216,820.83