Finding the Third Proportional to 42,616 and 99,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,616 : 99,538 = 99,538 : x
2. Step 2: Convert to fraction form
   42,616/99,538 = 99,538/x
3. Step 3: Cross multiply
   42,616x = 99,538 × 99,538
4. Step 4: Simplify right side
   42,616x = 9,907,813,444
5. Step 5: Solve for x
   x = 9,907,813,444/42,616
6. Step 6: Final answer
   x = 232,490.46