Finding the Third Proportional to 69,640 and 142,968

Step by Step Solution

1. Step 1: Write the proportion equation
   69,640 : 142,968 = 142,968 : x
2. Step 2: Convert to fraction form
   69,640/142,968 = 142,968/x
3. Step 3: Cross multiply
   69,640x = 142,968 × 142,968
4. Step 4: Simplify right side
   69,640x = 20,439,849,024
5. Step 5: Solve for x
   x = 20,439,849,024/69,640
6. Step 6: Final answer
   x = 293,507.31