Finding the Third Proportional to 64,853 and 141,066

Step by Step Solution

1. Step 1: Write the proportion equation
   64,853 : 141,066 = 141,066 : x
2. Step 2: Convert to fraction form
   64,853/141,066 = 141,066/x
3. Step 3: Cross multiply
   64,853x = 141,066 × 141,066
4. Step 4: Simplify right side
   64,853x = 19,899,616,356
5. Step 5: Solve for x
   x = 19,899,616,356/64,853
6. Step 6: Final answer
   x = 306,841.88