Finding the Third Proportional to 64,734 and 138,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,734 : 138,462.50 = 138,462.50 : x
2. Step 2: Convert to fraction form
   64,734/138,462.50 = 138,462.50/x
3. Step 3: Cross multiply
   64,734x = 138,462.50 × 138,462.50
4. Step 4: Simplify right side
   64,734x = 19,171,863,906.25
5. Step 5: Solve for x
   x = 19,171,863,906.25/64,734
6. Step 6: Final answer
   x = 296,163.75