Finding the Third Proportional to 101,198 and 148,516

Step by Step Solution

1. Step 1: Write the proportion equation
   101,198 : 148,516 = 148,516 : x
2. Step 2: Convert to fraction form
   101,198/148,516 = 148,516/x
3. Step 3: Cross multiply
   101,198x = 148,516 × 148,516
4. Step 4: Simplify right side
   101,198x = 22,057,002,256
5. Step 5: Solve for x
   x = 22,057,002,256/101,198
6. Step 6: Final answer
   x = 217,958.88