Finding the Third Proportional to 64,002.38 and 140,306.06

Step by Step Solution

1. Step 1: Write the proportion equation
   64,002.38 : 140,306.06 = 140,306.06 : x
2. Step 2: Convert to fraction form
   64,002.38/140,306.06 = 140,306.06/x
3. Step 3: Cross multiply
   64,002.38x = 140,306.06 × 140,306.06
4. Step 4: Simplify right side
   64,002.38x = 19,685,791,174.25
5. Step 5: Solve for x
   x = 19,685,791,174.25/64,002.38
6. Step 6: Final answer
   x = 307,579.07