Finding the Third Proportional to 89,250 and 138,196

Step by Step Solution

1. Step 1: Write the proportion equation
   89,250 : 138,196 = 138,196 : x
2. Step 2: Convert to fraction form
   89,250/138,196 = 138,196/x
3. Step 3: Cross multiply
   89,250x = 138,196 × 138,196
4. Step 4: Simplify right side
   89,250x = 19,098,134,416
5. Step 5: Solve for x
   x = 19,098,134,416/89,250
6. Step 6: Final answer
   x = 213,984.70