Finding the Third Proportional to 42,412 and 92,200

Step by Step Solution

1. Step 1: Write the proportion equation
   42,412 : 92,200 = 92,200 : x
2. Step 2: Convert to fraction form
   42,412/92,200 = 92,200/x
3. Step 3: Cross multiply
   42,412x = 92,200 × 92,200
4. Step 4: Simplify right side
   42,412x = 8,500,840,000
5. Step 5: Solve for x
   x = 8,500,840,000/42,412
6. Step 6: Final answer
   x = 200,434.78