Finding the Third Proportional to 64,644 and 100,449

Step by Step Solution

1. Step 1: Write the proportion equation
   64,644 : 100,449 = 100,449 : x
2. Step 2: Convert to fraction form
   64,644/100,449 = 100,449/x
3. Step 3: Cross multiply
   64,644x = 100,449 × 100,449
4. Step 4: Simplify right side
   64,644x = 10,090,001,601
5. Step 5: Solve for x
   x = 10,090,001,601/64,644
6. Step 6: Final answer
   x = 156,085.66