Finding the Third Proportional to 89,716 and 137,720

Step by Step Solution

1. Step 1: Write the proportion equation
   89,716 : 137,720 = 137,720 : x
2. Step 2: Convert to fraction form
   89,716/137,720 = 137,720/x
3. Step 3: Cross multiply
   89,716x = 137,720 × 137,720
4. Step 4: Simplify right side
   89,716x = 18,966,798,400
5. Step 5: Solve for x
   x = 18,966,798,400/89,716
6. Step 6: Final answer
   x = 211,409.32