Finding the Third Proportional to 85,382 and 187,374

Step by Step Solution

1. Step 1: Write the proportion equation
   85,382 : 187,374 = 187,374 : x
2. Step 2: Convert to fraction form
   85,382/187,374 = 187,374/x
3. Step 3: Cross multiply
   85,382x = 187,374 × 187,374
4. Step 4: Simplify right side
   85,382x = 35,109,015,876
5. Step 5: Solve for x
   x = 35,109,015,876/85,382
6. Step 6: Final answer
   x = 411,199.27