Finding the Third Proportional to 65,778.50 and 142,645

Step by Step Solution

1. Step 1: Write the proportion equation
   65,778.50 : 142,645 = 142,645 : x
2. Step 2: Convert to fraction form
   65,778.50/142,645 = 142,645/x
3. Step 3: Cross multiply
   65,778.50x = 142,645 × 142,645
4. Step 4: Simplify right side
   65,778.50x = 20,347,596,025
5. Step 5: Solve for x
   x = 20,347,596,025/65,778.50
6. Step 6: Final answer
   x = 309,335.06