Finding the Third Proportional to 65,216 and 142,934

Step by Step Solution

1. Step 1: Write the proportion equation
   65,216 : 142,934 = 142,934 : x
2. Step 2: Convert to fraction form
   65,216/142,934 = 142,934/x
3. Step 3: Cross multiply
   65,216x = 142,934 × 142,934
4. Step 4: Simplify right side
   65,216x = 20,430,128,356
5. Step 5: Solve for x
   x = 20,430,128,356/65,216
6. Step 6: Final answer
   x = 313,268.65