Finding the Third Proportional to 42,102 and 90,400

Step by Step Solution

1. Step 1: Write the proportion equation
   42,102 : 90,400 = 90,400 : x
2. Step 2: Convert to fraction form
   42,102/90,400 = 90,400/x
3. Step 3: Cross multiply
   42,102x = 90,400 × 90,400
4. Step 4: Simplify right side
   42,102x = 8,172,160,000
5. Step 5: Solve for x
   x = 8,172,160,000/42,102
6. Step 6: Final answer
   x = 194,103.84