Finding the Third Proportional to 65,488 and 142,968

Step by Step Solution

1. Step 1: Write the proportion equation
   65,488 : 142,968 = 142,968 : x
2. Step 2: Convert to fraction form
   65,488/142,968 = 142,968/x
3. Step 3: Cross multiply
   65,488x = 142,968 × 142,968
4. Step 4: Simplify right side
   65,488x = 20,439,849,024
5. Step 5: Solve for x
   x = 20,439,849,024/65,488
6. Step 6: Final answer
   x = 312,115.95