Finding the Third Proportional to 89,138 and 138,468

Step by Step Solution

1. Step 1: Write the proportion equation
   89,138 : 138,468 = 138,468 : x
2. Step 2: Convert to fraction form
   89,138/138,468 = 138,468/x
3. Step 3: Cross multiply
   89,138x = 138,468 × 138,468
4. Step 4: Simplify right side
   89,138x = 19,173,387,024
5. Step 5: Solve for x
   x = 19,173,387,024/89,138
6. Step 6: Final answer
   x = 215,097.79