Finding the Third Proportional to 65,688 and 142,284

Step by Step Solution

1. Step 1: Write the proportion equation
   65,688 : 142,284 = 142,284 : x
2. Step 2: Convert to fraction form
   65,688/142,284 = 142,284/x
3. Step 3: Cross multiply
   65,688x = 142,284 × 142,284
4. Step 4: Simplify right side
   65,688x = 20,244,736,656
5. Step 5: Solve for x
   x = 20,244,736,656/65,688
6. Step 6: Final answer
   x = 308,195.36