Finding the Third Proportional to 65,784 and 144,066

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784 : 144,066 = 144,066 : x
2. Step 2: Convert to fraction form
   65,784/144,066 = 144,066/x
3. Step 3: Cross multiply
   65,784x = 144,066 × 144,066
4. Step 4: Simplify right side
   65,784x = 20,755,012,356
5. Step 5: Solve for x
   x = 20,755,012,356/65,784
6. Step 6: Final answer
   x = 315,502.44