Finding the Third Proportional to 65,764.50 and 142,701

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764.50 : 142,701 = 142,701 : x
2. Step 2: Convert to fraction form
   65,764.50/142,701 = 142,701/x
3. Step 3: Cross multiply
   65,764.50x = 142,701 × 142,701
4. Step 4: Simplify right side
   65,764.50x = 20,363,575,401
5. Step 5: Solve for x
   x = 20,363,575,401/65,764.50
6. Step 6: Final answer
   x = 309,643.89