Finding the Third Proportional to 42,456 and 91,832

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 91,832 = 91,832 : x
2. Step 2: Convert to fraction form
   42,456/91,832 = 91,832/x
3. Step 3: Cross multiply
   42,456x = 91,832 × 91,832
4. Step 4: Simplify right side
   42,456x = 8,433,116,224
5. Step 5: Solve for x
   x = 8,433,116,224/42,456
6. Step 6: Final answer
   x = 198,631.91