Finding the Third Proportional to 83,687 and 182,140

Step by Step Solution

1. Step 1: Write the proportion equation
   83,687 : 182,140 = 182,140 : x
2. Step 2: Convert to fraction form
   83,687/182,140 = 182,140/x
3. Step 3: Cross multiply
   83,687x = 182,140 × 182,140
4. Step 4: Simplify right side
   83,687x = 33,174,979,600
5. Step 5: Solve for x
   x = 33,174,979,600/83,687
6. Step 6: Final answer
   x = 396,417.36