Finding the Third Proportional to 88,380 and 137,066

Step by Step Solution

1. Step 1: Write the proportion equation
   88,380 : 137,066 = 137,066 : x
2. Step 2: Convert to fraction form
   88,380/137,066 = 137,066/x
3. Step 3: Cross multiply
   88,380x = 137,066 × 137,066
4. Step 4: Simplify right side
   88,380x = 18,787,088,356
5. Step 5: Solve for x
   x = 18,787,088,356/88,380
6. Step 6: Final answer
   x = 212,571.72