Finding the Third Proportional to 92,446 and 199,142

Step by Step Solution

1. Step 1: Write the proportion equation
   92,446 : 199,142 = 199,142 : x
2. Step 2: Convert to fraction form
   92,446/199,142 = 199,142/x
3. Step 3: Cross multiply
   92,446x = 199,142 × 199,142
4. Step 4: Simplify right side
   92,446x = 39,657,536,164
5. Step 5: Solve for x
   x = 39,657,536,164/92,446
6. Step 6: Final answer
   x = 428,980.55