Finding the Third Proportional to 65,233.50 and 141,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,233.50 : 141,259.50 = 141,259.50 : x
2. Step 2: Convert to fraction form
   65,233.50/141,259.50 = 141,259.50/x
3. Step 3: Cross multiply
   65,233.50x = 141,259.50 × 141,259.50
4. Step 4: Simplify right side
   65,233.50x = 19,954,246,340.25
5. Step 5: Solve for x
   x = 19,954,246,340.25/65,233.50
6. Step 6: Final answer
   x = 305,889.56