Finding the Third Proportional to 65,461 and 142,586

Step by Step Solution

1. Step 1: Write the proportion equation
   65,461 : 142,586 = 142,586 : x
2. Step 2: Convert to fraction form
   65,461/142,586 = 142,586/x
3. Step 3: Cross multiply
   65,461x = 142,586 × 142,586
4. Step 4: Simplify right side
   65,461x = 20,330,767,396
5. Step 5: Solve for x
   x = 20,330,767,396/65,461
6. Step 6: Final answer
   x = 310,578.32