Finding the Third Proportional to 42,408 and 91,798

Step by Step Solution

1. Step 1: Write the proportion equation
   42,408 : 91,798 = 91,798 : x
2. Step 2: Convert to fraction form
   42,408/91,798 = 91,798/x
3. Step 3: Cross multiply
   42,408x = 91,798 × 91,798
4. Step 4: Simplify right side
   42,408x = 8,426,872,804
5. Step 5: Solve for x
   x = 8,426,872,804/42,408
6. Step 6: Final answer
   x = 198,709.51