Finding the Third Proportional to 42,402 and 92,094

Step by Step Solution

1. Step 1: Write the proportion equation
   42,402 : 92,094 = 92,094 : x
2. Step 2: Convert to fraction form
   42,402/92,094 = 92,094/x
3. Step 3: Cross multiply
   42,402x = 92,094 × 92,094
4. Step 4: Simplify right side
   42,402x = 8,481,304,836
5. Step 5: Solve for x
   x = 8,481,304,836/42,402
6. Step 6: Final answer
   x = 200,021.34