Finding the Third Proportional to 64,114 and 140,036

Step by Step Solution

1. Step 1: Write the proportion equation
   64,114 : 140,036 = 140,036 : x
2. Step 2: Convert to fraction form
   64,114/140,036 = 140,036/x
3. Step 3: Cross multiply
   64,114x = 140,036 × 140,036
4. Step 4: Simplify right side
   64,114x = 19,610,081,296
5. Step 5: Solve for x
   x = 19,610,081,296/64,114
6. Step 6: Final answer
   x = 305,862.70