Finding the Third Proportional to 65,090.50 and 142,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,090.50 : 142,665.50 = 142,665.50 : x
2. Step 2: Convert to fraction form
   65,090.50/142,665.50 = 142,665.50/x
3. Step 3: Cross multiply
   65,090.50x = 142,665.50 × 142,665.50
4. Step 4: Simplify right side
   65,090.50x = 20,353,444,890.25
5. Step 5: Solve for x
   x = 20,353,444,890.25/65,090.50
6. Step 6: Final answer
   x = 312,694.55