Finding the Third Proportional to 83,762 and 182,320

Step by Step Solution

1. Step 1: Write the proportion equation
   83,762 : 182,320 = 182,320 : x
2. Step 2: Convert to fraction form
   83,762/182,320 = 182,320/x
3. Step 3: Cross multiply
   83,762x = 182,320 × 182,320
4. Step 4: Simplify right side
   83,762x = 33,240,582,400
5. Step 5: Solve for x
   x = 33,240,582,400/83,762
6. Step 6: Final answer
   x = 396,845.61