Finding the Third Proportional to 78,329 and 144,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,329 : 144,082.50 = 144,082.50 : x
2. Step 2: Convert to fraction form
   78,329/144,082.50 = 144,082.50/x
3. Step 3: Cross multiply
   78,329x = 144,082.50 × 144,082.50
4. Step 4: Simplify right side
   78,329x = 20,759,766,806.25
5. Step 5: Solve for x
   x = 20,759,766,806.25/78,329
6. Step 6: Final answer
   x = 265,032.96