Finding the Third Proportional to 63,606 and 138,146

Step by Step Solution

1. Step 1: Write the proportion equation
   63,606 : 138,146 = 138,146 : x
2. Step 2: Convert to fraction form
   63,606/138,146 = 138,146/x
3. Step 3: Cross multiply
   63,606x = 138,146 × 138,146
4. Step 4: Simplify right side
   63,606x = 19,084,317,316
5. Step 5: Solve for x
   x = 19,084,317,316/63,606
6. Step 6: Final answer
   x = 300,039.58