Finding the Third Proportional to 89,299 and 138,146

Step by Step Solution

1. Step 1: Write the proportion equation
   89,299 : 138,146 = 138,146 : x
2. Step 2: Convert to fraction form
   89,299/138,146 = 138,146/x
3. Step 3: Cross multiply
   89,299x = 138,146 × 138,146
4. Step 4: Simplify right side
   89,299x = 19,084,317,316
5. Step 5: Solve for x
   x = 19,084,317,316/89,299
6. Step 6: Final answer
   x = 213,712.55