Finding the Third Proportional to 88,920 and 137,592

Step by Step Solution

1. Step 1: Write the proportion equation
   88,920 : 137,592 = 137,592 : x
2. Step 2: Convert to fraction form
   88,920/137,592 = 137,592/x
3. Step 3: Cross multiply
   88,920x = 137,592 × 137,592
4. Step 4: Simplify right side
   88,920x = 18,931,558,464
5. Step 5: Solve for x
   x = 18,931,558,464/88,920
6. Step 6: Final answer
   x = 212,905.52