Finding the Third Proportional to 521,919 and 781,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   521,919 : 781,645.50 = 781,645.50 : x
2. Step 2: Convert to fraction form
   521,919/781,645.50 = 781,645.50/x
3. Step 3: Cross multiply
   521,919x = 781,645.50 × 781,645.50
4. Step 4: Simplify right side
   521,919x = 610,969,687,670.25
5. Step 5: Solve for x
   x = 610,969,687,670.25/521,919
6. Step 6: Final answer
   x = 1,170,621.66