Finding the Third Proportional to 525,026 and 776,469

Step by Step Solution

1. Step 1: Write the proportion equation
   525,026 : 776,469 = 776,469 : x
2. Step 2: Convert to fraction form
   525,026/776,469 = 776,469/x
3. Step 3: Cross multiply
   525,026x = 776,469 × 776,469
4. Step 4: Simplify right side
   525,026x = 602,904,107,961
5. Step 5: Solve for x
   x = 602,904,107,961/525,026
6. Step 6: Final answer
   x = 1,148,331.91