Finding the Third Proportional to 51,648 and 78,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,648 : 78,502.50 = 78,502.50 : x
2. Step 2: Convert to fraction form
   51,648/78,502.50 = 78,502.50/x
3. Step 3: Cross multiply
   51,648x = 78,502.50 × 78,502.50
4. Step 4: Simplify right side
   51,648x = 6,162,642,506.25
5. Step 5: Solve for x
   x = 6,162,642,506.25/51,648
6. Step 6: Final answer
   x = 119,320.06