Finding the Third Proportional to 146,289 and 196,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,289 : 196,105.50 = 196,105.50 : x
2. Step 2: Convert to fraction form
   146,289/196,105.50 = 196,105.50/x
3. Step 3: Cross multiply
   146,289x = 196,105.50 × 196,105.50
4. Step 4: Simplify right side
   146,289x = 38,457,367,130.25
5. Step 5: Solve for x
   x = 38,457,367,130.25/146,289
6. Step 6: Final answer
   x = 262,886.25