Finding the Third Proportional to 525,772 and 787,760

Step by Step Solution

1. Step 1: Write the proportion equation
   525,772 : 787,760 = 787,760 : x
2. Step 2: Convert to fraction form
   525,772/787,760 = 787,760/x
3. Step 3: Cross multiply
   525,772x = 787,760 × 787,760
4. Step 4: Simplify right side
   525,772x = 620,565,817,600
5. Step 5: Solve for x
   x = 620,565,817,600/525,772
6. Step 6: Final answer
   x = 1,180,294.53