Finding the Third Proportional to 525,141 and 814,716

Step by Step Solution

1. Step 1: Write the proportion equation
   525,141 : 814,716 = 814,716 : x
2. Step 2: Convert to fraction form
   525,141/814,716 = 814,716/x
3. Step 3: Cross multiply
   525,141x = 814,716 × 814,716
4. Step 4: Simplify right side
   525,141x = 663,762,160,656
5. Step 5: Solve for x
   x = 663,762,160,656/525,141
6. Step 6: Final answer
   x = 1,263,969.41