Finding the Third Proportional to 59,644 and 128,632

Step by Step Solution

1. Step 1: Write the proportion equation
   59,644 : 128,632 = 128,632 : x
2. Step 2: Convert to fraction form
   59,644/128,632 = 128,632/x
3. Step 3: Cross multiply
   59,644x = 128,632 × 128,632
4. Step 4: Simplify right side
   59,644x = 16,546,191,424
5. Step 5: Solve for x
   x = 16,546,191,424/59,644
6. Step 6: Final answer
   x = 277,415.86