Finding the Third Proportional to 65,847 and 142,332

Step by Step Solution

1. Step 1: Write the proportion equation
   65,847 : 142,332 = 142,332 : x
2. Step 2: Convert to fraction form
   65,847/142,332 = 142,332/x
3. Step 3: Cross multiply
   65,847x = 142,332 × 142,332
4. Step 4: Simplify right side
   65,847x = 20,258,398,224
5. Step 5: Solve for x
   x = 20,258,398,224/65,847
6. Step 6: Final answer
   x = 307,658.64