Finding the Third Proportional to 88,830 and 137,538

Step by Step Solution

1. Step 1: Write the proportion equation
   88,830 : 137,538 = 137,538 : x
2. Step 2: Convert to fraction form
   88,830/137,538 = 137,538/x
3. Step 3: Cross multiply
   88,830x = 137,538 × 137,538
4. Step 4: Simplify right side
   88,830x = 18,916,701,444
5. Step 5: Solve for x
   x = 18,916,701,444/88,830
6. Step 6: Final answer
   x = 212,953.97