Finding the Third Proportional to 65,748 and 142,007

Step by Step Solution

1. Step 1: Write the proportion equation
   65,748 : 142,007 = 142,007 : x
2. Step 2: Convert to fraction form
   65,748/142,007 = 142,007/x
3. Step 3: Cross multiply
   65,748x = 142,007 × 142,007
4. Step 4: Simplify right side
   65,748x = 20,165,988,049
5. Step 5: Solve for x
   x = 20,165,988,049/65,748
6. Step 6: Final answer
   x = 306,716.37