Finding the Third Proportional to 65,684 and 142,276

Step by Step Solution

1. Step 1: Write the proportion equation
   65,684 : 142,276 = 142,276 : x
2. Step 2: Convert to fraction form
   65,684/142,276 = 142,276/x
3. Step 3: Cross multiply
   65,684x = 142,276 × 142,276
4. Step 4: Simplify right side
   65,684x = 20,242,460,176
5. Step 5: Solve for x
   x = 20,242,460,176/65,684
6. Step 6: Final answer
   x = 308,179.47