Finding the Third Proportional to 525,160 and 787,564

Step by Step Solution

1. Step 1: Write the proportion equation
   525,160 : 787,564 = 787,564 : x
2. Step 2: Convert to fraction form
   525,160/787,564 = 787,564/x
3. Step 3: Cross multiply
   525,160x = 787,564 × 787,564
4. Step 4: Simplify right side
   525,160x = 620,257,054,096
5. Step 5: Solve for x
   x = 620,257,054,096/525,160
6. Step 6: Final answer
   x = 1,181,082.06