Finding the Third Proportional to 145,300.50 and 195,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,300.50 : 195,259.50 = 195,259.50 : x
2. Step 2: Convert to fraction form
   145,300.50/195,259.50 = 195,259.50/x
3. Step 3: Cross multiply
   145,300.50x = 195,259.50 × 195,259.50
4. Step 4: Simplify right side
   145,300.50x = 38,126,272,340.25
5. Step 5: Solve for x
   x = 38,126,272,340.25/145,300.50
6. Step 6: Final answer
   x = 262,396.02