Finding the Third Proportional to 63,742 and 140,066

Step by Step Solution

1. Step 1: Write the proportion equation
   63,742 : 140,066 = 140,066 : x
2. Step 2: Convert to fraction form
   63,742/140,066 = 140,066/x
3. Step 3: Cross multiply
   63,742x = 140,066 × 140,066
4. Step 4: Simplify right side
   63,742x = 19,618,484,356
5. Step 5: Solve for x
   x = 19,618,484,356/63,742
6. Step 6: Final answer
   x = 307,779.55