Finding the Third Proportional to 109,661 and 148,597

Step by Step Solution

1. Step 1: Write the proportion equation
   109,661 : 148,597 = 148,597 : x
2. Step 2: Convert to fraction form
   109,661/148,597 = 148,597/x
3. Step 3: Cross multiply
   109,661x = 148,597 × 148,597
4. Step 4: Simplify right side
   109,661x = 22,081,068,409
5. Step 5: Solve for x
   x = 22,081,068,409/109,661
6. Step 6: Final answer
   x = 201,357.53