Finding the Third Proportional to 65,487 and 142,641

Step by Step Solution

1. Step 1: Write the proportion equation
   65,487 : 142,641 = 142,641 : x
2. Step 2: Convert to fraction form
   65,487/142,641 = 142,641/x
3. Step 3: Cross multiply
   65,487x = 142,641 × 142,641
4. Step 4: Simplify right side
   65,487x = 20,346,454,881
5. Step 5: Solve for x
   x = 20,346,454,881/65,487
6. Step 6: Final answer
   x = 310,694.56