Finding the Third Proportional to 42,142 and 92,192

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142 : 92,192 = 92,192 : x
2. Step 2: Convert to fraction form
   42,142/92,192 = 92,192/x
3. Step 3: Cross multiply
   42,142x = 92,192 × 92,192
4. Step 4: Simplify right side
   42,142x = 8,499,364,864
5. Step 5: Solve for x
   x = 8,499,364,864/42,142
6. Step 6: Final answer
   x = 201,683.95