Finding the Third Proportional to 64,338 and 142,284

Step by Step Solution

1. Step 1: Write the proportion equation
   64,338 : 142,284 = 142,284 : x
2. Step 2: Convert to fraction form
   64,338/142,284 = 142,284/x
3. Step 3: Cross multiply
   64,338x = 142,284 × 142,284
4. Step 4: Simplify right side
   64,338x = 20,244,736,656
5. Step 5: Solve for x
   x = 20,244,736,656/64,338
6. Step 6: Final answer
   x = 314,662.20