Finding the Third Proportional to 42,092 and 92,098

Step by Step Solution

1. Step 1: Write the proportion equation
   42,092 : 92,098 = 92,098 : x
2. Step 2: Convert to fraction form
   42,092/92,098 = 92,098/x
3. Step 3: Cross multiply
   42,092x = 92,098 × 92,098
4. Step 4: Simplify right side
   42,092x = 8,482,041,604
5. Step 5: Solve for x
   x = 8,482,041,604/42,092
6. Step 6: Final answer
   x = 201,511.96