Finding the Third Proportional to 525,196 and 814,772

Step by Step Solution

1. Step 1: Write the proportion equation
   525,196 : 814,772 = 814,772 : x
2. Step 2: Convert to fraction form
   525,196/814,772 = 814,772/x
3. Step 3: Cross multiply
   525,196x = 814,772 × 814,772
4. Step 4: Simplify right side
   525,196x = 663,853,411,984
5. Step 5: Solve for x
   x = 663,853,411,984/525,196
6. Step 6: Final answer
   x = 1,264,010.79