Finding the Third Proportional to 42,156 and 91,749

Step by Step Solution

1. Step 1: Write the proportion equation
   42,156 : 91,749 = 91,749 : x
2. Step 2: Convert to fraction form
   42,156/91,749 = 91,749/x
3. Step 3: Cross multiply
   42,156x = 91,749 × 91,749
4. Step 4: Simplify right side
   42,156x = 8,417,879,001
5. Step 5: Solve for x
   x = 8,417,879,001/42,156
6. Step 6: Final answer
   x = 199,684.01