Finding the Third Proportional to 89,380 and 138,975

Step by Step Solution

1. Step 1: Write the proportion equation
   89,380 : 138,975 = 138,975 : x
2. Step 2: Convert to fraction form
   89,380/138,975 = 138,975/x
3. Step 3: Cross multiply
   89,380x = 138,975 × 138,975
4. Step 4: Simplify right side
   89,380x = 19,314,050,625
5. Step 5: Solve for x
   x = 19,314,050,625/89,380
6. Step 6: Final answer
   x = 216,089.18