Finding the Third Proportional to 89,004 and 138,612

Step by Step Solution

1. Step 1: Write the proportion equation
   89,004 : 138,612 = 138,612 : x
2. Step 2: Convert to fraction form
   89,004/138,612 = 138,612/x
3. Step 3: Cross multiply
   89,004x = 138,612 × 138,612
4. Step 4: Simplify right side
   89,004x = 19,213,286,544
5. Step 5: Solve for x
   x = 19,213,286,544/89,004
6. Step 6: Final answer
   x = 215,869.92