Finding the Third Proportional to 42,468 and 92,320

Step by Step Solution

1. Step 1: Write the proportion equation
   42,468 : 92,320 = 92,320 : x
2. Step 2: Convert to fraction form
   42,468/92,320 = 92,320/x
3. Step 3: Cross multiply
   42,468x = 92,320 × 92,320
4. Step 4: Simplify right side
   42,468x = 8,522,982,400
5. Step 5: Solve for x
   x = 8,522,982,400/42,468
6. Step 6: Final answer
   x = 200,691.87