Finding the Third Proportional to 65,176 and 142,806

Step by Step Solution

1. Step 1: Write the proportion equation
   65,176 : 142,806 = 142,806 : x
2. Step 2: Convert to fraction form
   65,176/142,806 = 142,806/x
3. Step 3: Cross multiply
   65,176x = 142,806 × 142,806
4. Step 4: Simplify right side
   65,176x = 20,393,553,636
5. Step 5: Solve for x
   x = 20,393,553,636/65,176
6. Step 6: Final answer
   x = 312,899.74