Finding the Third Proportional to 89,164 and 138,508

Step by Step Solution

1. Step 1: Write the proportion equation
   89,164 : 138,508 = 138,508 : x
2. Step 2: Convert to fraction form
   89,164/138,508 = 138,508/x
3. Step 3: Cross multiply
   89,164x = 138,508 × 138,508
4. Step 4: Simplify right side
   89,164x = 19,184,466,064
5. Step 5: Solve for x
   x = 19,184,466,064/89,164
6. Step 6: Final answer
   x = 215,159.33