Finding the Third Proportional to 65,064 and 142,028

Step by Step Solution

1. Step 1: Write the proportion equation
   65,064 : 142,028 = 142,028 : x
2. Step 2: Convert to fraction form
   65,064/142,028 = 142,028/x
3. Step 3: Cross multiply
   65,064x = 142,028 × 142,028
4. Step 4: Simplify right side
   65,064x = 20,171,952,784
5. Step 5: Solve for x
   x = 20,171,952,784/65,064
6. Step 6: Final answer
   x = 310,032.47