Finding the Third Proportional to 457,436 and 653,538

Step by Step Solution

1. Step 1: Write the proportion equation
   457,436 : 653,538 = 653,538 : x
2. Step 2: Convert to fraction form
   457,436/653,538 = 653,538/x
3. Step 3: Cross multiply
   457,436x = 653,538 × 653,538
4. Step 4: Simplify right side
   457,436x = 427,111,917,444
5. Step 5: Solve for x
   x = 427,111,917,444/457,436
6. Step 6: Final answer
   x = 933,708.58