Finding the Third Proportional to 42,470 and 91,548

Step by Step Solution

1. Step 1: Write the proportion equation
   42,470 : 91,548 = 91,548 : x
2. Step 2: Convert to fraction form
   42,470/91,548 = 91,548/x
3. Step 3: Cross multiply
   42,470x = 91,548 × 91,548
4. Step 4: Simplify right side
   42,470x = 8,381,036,304
5. Step 5: Solve for x
   x = 8,381,036,304/42,470
6. Step 6: Final answer
   x = 197,340.15