Finding the Third Proportional to 146,133 and 198,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,133 : 198,031.50 = 198,031.50 : x
2. Step 2: Convert to fraction form
   146,133/198,031.50 = 198,031.50/x
3. Step 3: Cross multiply
   146,133x = 198,031.50 × 198,031.50
4. Step 4: Simplify right side
   146,133x = 39,216,474,992.25
5. Step 5: Solve for x
   x = 39,216,474,992.25/146,133
6. Step 6: Final answer
   x = 268,361.53