Finding the Third Proportional to 109,716 and 147,078

Step by Step Solution

1. Step 1: Write the proportion equation
   109,716 : 147,078 = 147,078 : x
2. Step 2: Convert to fraction form
   109,716/147,078 = 147,078/x
3. Step 3: Cross multiply
   109,716x = 147,078 × 147,078
4. Step 4: Simplify right side
   109,716x = 21,631,938,084
5. Step 5: Solve for x
   x = 21,631,938,084/109,716
6. Step 6: Final answer
   x = 197,163.02