Finding the Third Proportional to 69,792 and 143,280

Step by Step Solution

1. Step 1: Write the proportion equation
   69,792 : 143,280 = 143,280 : x
2. Step 2: Convert to fraction form
   69,792/143,280 = 143,280/x
3. Step 3: Cross multiply
   69,792x = 143,280 × 143,280
4. Step 4: Simplify right side
   69,792x = 20,529,158,400
5. Step 5: Solve for x
   x = 20,529,158,400/69,792
6. Step 6: Final answer
   x = 294,147.73