Finding the Third Proportional to 65,705 and 141,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,705 : 141,965.50 = 141,965.50 : x
2. Step 2: Convert to fraction form
   65,705/141,965.50 = 141,965.50/x
3. Step 3: Cross multiply
   65,705x = 141,965.50 × 141,965.50
4. Step 4: Simplify right side
   65,705x = 20,154,203,190.25
5. Step 5: Solve for x
   x = 20,154,203,190.25/65,705
6. Step 6: Final answer
   x = 306,737.74