Finding the Third Proportional to 65,088 and 142,661

Step by Step Solution

1. Step 1: Write the proportion equation
   65,088 : 142,661 = 142,661 : x
2. Step 2: Convert to fraction form
   65,088/142,661 = 142,661/x
3. Step 3: Cross multiply
   65,088x = 142,661 × 142,661
4. Step 4: Simplify right side
   65,088x = 20,352,160,921
5. Step 5: Solve for x
   x = 20,352,160,921/65,088
6. Step 6: Final answer
   x = 312,686.84