Finding the Third Proportional to 65,580 and 140,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,580 : 140,713.50 = 140,713.50 : x
2. Step 2: Convert to fraction form
   65,580/140,713.50 = 140,713.50/x
3. Step 3: Cross multiply
   65,580x = 140,713.50 × 140,713.50
4. Step 4: Simplify right side
   65,580x = 19,800,289,082.25
5. Step 5: Solve for x
   x = 19,800,289,082.25/65,580
6. Step 6: Final answer
   x = 301,925.73