Finding the Third Proportional to 42,658 and 99,689

Step by Step Solution

1. Step 1: Write the proportion equation
   42,658 : 99,689 = 99,689 : x
2. Step 2: Convert to fraction form
   42,658/99,689 = 99,689/x
3. Step 3: Cross multiply
   42,658x = 99,689 × 99,689
4. Step 4: Simplify right side
   42,658x = 9,937,896,721
5. Step 5: Solve for x
   x = 9,937,896,721/42,658
6. Step 6: Final answer
   x = 232,966.78