Finding the Third Proportional to 89,310 and 138,287

Step by Step Solution

1. Step 1: Write the proportion equation
   89,310 : 138,287 = 138,287 : x
2. Step 2: Convert to fraction form
   89,310/138,287 = 138,287/x
3. Step 3: Cross multiply
   89,310x = 138,287 × 138,287
4. Step 4: Simplify right side
   89,310x = 19,123,294,369
5. Step 5: Solve for x
   x = 19,123,294,369/89,310
6. Step 6: Final answer
   x = 214,122.66