Finding the Third Proportional to 89,174 and 138,522

Step by Step Solution

1. Step 1: Write the proportion equation
   89,174 : 138,522 = 138,522 : x
2. Step 2: Convert to fraction form
   89,174/138,522 = 138,522/x
3. Step 3: Cross multiply
   89,174x = 138,522 × 138,522
4. Step 4: Simplify right side
   89,174x = 19,188,344,484
5. Step 5: Solve for x
   x = 19,188,344,484/89,174
6. Step 6: Final answer
   x = 215,178.69