Finding the Third Proportional to 89,072 and 138,534

Step by Step Solution

1. Step 1: Write the proportion equation
   89,072 : 138,534 = 138,534 : x
2. Step 2: Convert to fraction form
   89,072/138,534 = 138,534/x
3. Step 3: Cross multiply
   89,072x = 138,534 × 138,534
4. Step 4: Simplify right side
   89,072x = 19,191,669,156
5. Step 5: Solve for x
   x = 19,191,669,156/89,072
6. Step 6: Final answer
   x = 215,462.43