Finding the Third Proportional to 42,456 and 91,434

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 91,434 = 91,434 : x
2. Step 2: Convert to fraction form
   42,456/91,434 = 91,434/x
3. Step 3: Cross multiply
   42,456x = 91,434 × 91,434
4. Step 4: Simplify right side
   42,456x = 8,360,176,356
5. Step 5: Solve for x
   x = 8,360,176,356/42,456
6. Step 6: Final answer
   x = 196,913.90