Finding the Third Proportional to 65,460 and 142,584

Step by Step Solution

1. Step 1: Write the proportion equation
   65,460 : 142,584 = 142,584 : x
2. Step 2: Convert to fraction form
   65,460/142,584 = 142,584/x
3. Step 3: Cross multiply
   65,460x = 142,584 × 142,584
4. Step 4: Simplify right side
   65,460x = 20,330,197,056
5. Step 5: Solve for x
   x = 20,330,197,056/65,460
6. Step 6: Final answer
   x = 310,574.35