Finding the Third Proportional to 65,777 and 142,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,777 : 142,079.50 = 142,079.50 : x
2. Step 2: Convert to fraction form
   65,777/142,079.50 = 142,079.50/x
3. Step 3: Cross multiply
   65,777x = 142,079.50 × 142,079.50
4. Step 4: Simplify right side
   65,777x = 20,186,584,320.25
5. Step 5: Solve for x
   x = 20,186,584,320.25/65,777
6. Step 6: Final answer
   x = 306,894.27