Finding the Third Proportional to 42,142 and 92,770

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142 : 92,770 = 92,770 : x
2. Step 2: Convert to fraction form
   42,142/92,770 = 92,770/x
3. Step 3: Cross multiply
   42,142x = 92,770 × 92,770
4. Step 4: Simplify right side
   42,142x = 8,606,272,900
5. Step 5: Solve for x
   x = 8,606,272,900/42,142
6. Step 6: Final answer
   x = 204,220.80