Finding the Third Proportional to 85,386 and 187,382

Step by Step Solution

1. Step 1: Write the proportion equation
   85,386 : 187,382 = 187,382 : x
2. Step 2: Convert to fraction form
   85,386/187,382 = 187,382/x
3. Step 3: Cross multiply
   85,386x = 187,382 × 187,382
4. Step 4: Simplify right side
   85,386x = 35,112,013,924
5. Step 5: Solve for x
   x = 35,112,013,924/85,386
6. Step 6: Final answer
   x = 411,215.12