Finding the Third Proportional to 109,608 and 148,535

Step by Step Solution

1. Step 1: Write the proportion equation
   109,608 : 148,535 = 148,535 : x
2. Step 2: Convert to fraction form
   109,608/148,535 = 148,535/x
3. Step 3: Cross multiply
   109,608x = 148,535 × 148,535
4. Step 4: Simplify right side
   109,608x = 22,062,646,225
5. Step 5: Solve for x
   x = 22,062,646,225/109,608
6. Step 6: Final answer
   x = 201,286.82