Finding the Third Proportional to 85,038 and 185,382

Step by Step Solution

1. Step 1: Write the proportion equation
   85,038 : 185,382 = 185,382 : x
2. Step 2: Convert to fraction form
   85,038/185,382 = 185,382/x
3. Step 3: Cross multiply
   85,038x = 185,382 × 185,382
4. Step 4: Simplify right side
   85,038x = 34,366,485,924
5. Step 5: Solve for x
   x = 34,366,485,924/85,038
6. Step 6: Final answer
   x = 404,130.93