Finding the Third Proportional to 83,542 and 182,328

Step by Step Solution

1. Step 1: Write the proportion equation
   83,542 : 182,328 = 182,328 : x
2. Step 2: Convert to fraction form
   83,542/182,328 = 182,328/x
3. Step 3: Cross multiply
   83,542x = 182,328 × 182,328
4. Step 4: Simplify right side
   83,542x = 33,243,499,584
5. Step 5: Solve for x
   x = 33,243,499,584/83,542
6. Step 6: Final answer
   x = 397,925.59