Finding the Third Proportional to 120,933 and 279,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,933 : 279,733.50 = 279,733.50 : x
2. Step 2: Convert to fraction form
   120,933/279,733.50 = 279,733.50/x
3. Step 3: Cross multiply
   120,933x = 279,733.50 × 279,733.50
4. Step 4: Simplify right side
   120,933x = 78,250,831,022.25
5. Step 5: Solve for x
   x = 78,250,831,022.25/120,933
6. Step 6: Final answer
   x = 647,059.37