Finding the Third Proportional to 42,381 and 92,142

Step by Step Solution

1. Step 1: Write the proportion equation
   42,381 : 92,142 = 92,142 : x
2. Step 2: Convert to fraction form
   42,381/92,142 = 92,142/x
3. Step 3: Cross multiply
   42,381x = 92,142 × 92,142
4. Step 4: Simplify right side
   42,381x = 8,490,148,164
5. Step 5: Solve for x
   x = 8,490,148,164/42,381
6. Step 6: Final answer
   x = 200,329.11