Finding the Third Proportional to 64,077.75 and 140,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,077.75 : 140,629.50 = 140,629.50 : x
2. Step 2: Convert to fraction form
   64,077.75/140,629.50 = 140,629.50/x
3. Step 3: Cross multiply
   64,077.75x = 140,629.50 × 140,629.50
4. Step 4: Simplify right side
   64,077.75x = 19,776,656,270.25
5. Step 5: Solve for x
   x = 19,776,656,270.25/64,077.75
6. Step 6: Final answer
   x = 308,635.31