Finding the Third Proportional to 111,398 and 147,716

Step by Step Solution

1. Step 1: Write the proportion equation
   111,398 : 147,716 = 147,716 : x
2. Step 2: Convert to fraction form
   111,398/147,716 = 147,716/x
3. Step 3: Cross multiply
   111,398x = 147,716 × 147,716
4. Step 4: Simplify right side
   111,398x = 21,820,016,656
5. Step 5: Solve for x
   x = 21,820,016,656/111,398
6. Step 6: Final answer
   x = 195,874.40