Finding the Third Proportional to 123,644 and 253,161

Step by Step Solution

1. Step 1: Write the proportion equation
   123,644 : 253,161 = 253,161 : x
2. Step 2: Convert to fraction form
   123,644/253,161 = 253,161/x
3. Step 3: Cross multiply
   123,644x = 253,161 × 253,161
4. Step 4: Simplify right side
   123,644x = 64,090,491,921
5. Step 5: Solve for x
   x = 64,090,491,921/123,644
6. Step 6: Final answer
   x = 518,346.96