Finding the Third Proportional to 65,091.75 and 142,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,091.75 : 142,666.50 = 142,666.50 : x
2. Step 2: Convert to fraction form
   65,091.75/142,666.50 = 142,666.50/x
3. Step 3: Cross multiply
   65,091.75x = 142,666.50 × 142,666.50
4. Step 4: Simplify right side
   65,091.75x = 20,353,730,222.25
5. Step 5: Solve for x
   x = 20,353,730,222.25/65,091.75
6. Step 6: Final answer
   x = 312,692.93