Finding the Third Proportional to 65,126 and 142,720

Step by Step Solution

1. Step 1: Write the proportion equation
   65,126 : 142,720 = 142,720 : x
2. Step 2: Convert to fraction form
   65,126/142,720 = 142,720/x
3. Step 3: Cross multiply
   65,126x = 142,720 × 142,720
4. Step 4: Simplify right side
   65,126x = 20,368,998,400
5. Step 5: Solve for x
   x = 20,368,998,400/65,126
6. Step 6: Final answer
   x = 312,762.93