Finding the Third Proportional to 525,762 and 787,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,762 : 787,747.50 = 787,747.50 : x
2. Step 2: Convert to fraction form
   525,762/787,747.50 = 787,747.50/x
3. Step 3: Cross multiply
   525,762x = 787,747.50 × 787,747.50
4. Step 4: Simplify right side
   525,762x = 620,546,123,756.25
5. Step 5: Solve for x
   x = 620,546,123,756.25/525,762
6. Step 6: Final answer
   x = 1,180,279.53