Finding the Third Proportional to 88,664 and 137,112

Step by Step Solution

1. Step 1: Write the proportion equation
   88,664 : 137,112 = 137,112 : x
2. Step 2: Convert to fraction form
   88,664/137,112 = 137,112/x
3. Step 3: Cross multiply
   88,664x = 137,112 × 137,112
4. Step 4: Simplify right side
   88,664x = 18,799,700,544
5. Step 5: Solve for x
   x = 18,799,700,544/88,664
6. Step 6: Final answer
   x = 212,033.07