Finding the Third Proportional to 42,468 and 91,500

Step by Step Solution

1. Step 1: Write the proportion equation
   42,468 : 91,500 = 91,500 : x
2. Step 2: Convert to fraction form
   42,468/91,500 = 91,500/x
3. Step 3: Cross multiply
   42,468x = 91,500 × 91,500
4. Step 4: Simplify right side
   42,468x = 8,372,250,000
5. Step 5: Solve for x
   x = 8,372,250,000/42,468
6. Step 6: Final answer
   x = 197,142.55