Finding the Third Proportional to 78,330.50 and 144,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,330.50 : 144,085.50 = 144,085.50 : x
2. Step 2: Convert to fraction form
   78,330.50/144,085.50 = 144,085.50/x
3. Step 3: Cross multiply
   78,330.50x = 144,085.50 × 144,085.50
4. Step 4: Simplify right side
   78,330.50x = 20,760,631,310.25
5. Step 5: Solve for x
   x = 20,760,631,310.25/78,330.50
6. Step 6: Final answer
   x = 265,038.92