Finding the Third Proportional to 65,350 and 141,764

Step by Step Solution

1. Step 1: Write the proportion equation
   65,350 : 141,764 = 141,764 : x
2. Step 2: Convert to fraction form
   65,350/141,764 = 141,764/x
3. Step 3: Cross multiply
   65,350x = 141,764 × 141,764
4. Step 4: Simplify right side
   65,350x = 20,097,031,696
5. Step 5: Solve for x
   x = 20,097,031,696/65,350
6. Step 6: Final answer
   x = 307,529.18