Finding the Third Proportional to 83,748 and 182,040

Step by Step Solution

1. Step 1: Write the proportion equation
   83,748 : 182,040 = 182,040 : x
2. Step 2: Convert to fraction form
   83,748/182,040 = 182,040/x
3. Step 3: Cross multiply
   83,748x = 182,040 × 182,040
4. Step 4: Simplify right side
   83,748x = 33,138,561,600
5. Step 5: Solve for x
   x = 33,138,561,600/83,748
6. Step 6: Final answer
   x = 395,693.77