Finding the Third Proportional to 65,486 and 142,967

Step by Step Solution

1. Step 1: Write the proportion equation
   65,486 : 142,967 = 142,967 : x
2. Step 2: Convert to fraction form
   65,486/142,967 = 142,967/x
3. Step 3: Cross multiply
   65,486x = 142,967 × 142,967
4. Step 4: Simplify right side
   65,486x = 20,439,563,089
5. Step 5: Solve for x
   x = 20,439,563,089/65,486
6. Step 6: Final answer
   x = 312,121.11