Finding the Third Proportional to 42,892 and 91,448

Step by Step Solution

1. Step 1: Write the proportion equation
   42,892 : 91,448 = 91,448 : x
2. Step 2: Convert to fraction form
   42,892/91,448 = 91,448/x
3. Step 3: Cross multiply
   42,892x = 91,448 × 91,448
4. Step 4: Simplify right side
   42,892x = 8,362,736,704
5. Step 5: Solve for x
   x = 8,362,736,704/42,892
6. Step 6: Final answer
   x = 194,971.95