Finding the Third Proportional to 78,826 and 119,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,826 : 119,057.50 = 119,057.50 : x
2. Step 2: Convert to fraction form
   78,826/119,057.50 = 119,057.50/x
3. Step 3: Cross multiply
   78,826x = 119,057.50 × 119,057.50
4. Step 4: Simplify right side
   78,826x = 14,174,688,306.25
5. Step 5: Solve for x
   x = 14,174,688,306.25/78,826
6. Step 6: Final answer
   x = 179,822.50