Finding the Third Proportional to 64,662 and 142,284

Step by Step Solution

1. Step 1: Write the proportion equation
   64,662 : 142,284 = 142,284 : x
2. Step 2: Convert to fraction form
   64,662/142,284 = 142,284/x
3. Step 3: Cross multiply
   64,662x = 142,284 × 142,284
4. Step 4: Simplify right side
   64,662x = 20,244,736,656
5. Step 5: Solve for x
   x = 20,244,736,656/64,662
6. Step 6: Final answer
   x = 313,085.53