Finding the Third Proportional to 109,666 and 148,604.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,666 : 148,604.50 = 148,604.50 : x
2. Step 2: Convert to fraction form
   109,666/148,604.50 = 148,604.50/x
3. Step 3: Cross multiply
   109,666x = 148,604.50 × 148,604.50
4. Step 4: Simplify right side
   109,666x = 22,083,297,420.25
5. Step 5: Solve for x
   x = 22,083,297,420.25/109,666
6. Step 6: Final answer
   x = 201,368.68