Finding the Third Proportional to 78,837 and 119,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,837 : 119,074.50 = 119,074.50 : x
2. Step 2: Convert to fraction form
   78,837/119,074.50 = 119,074.50/x
3. Step 3: Cross multiply
   78,837x = 119,074.50 × 119,074.50
4. Step 4: Simplify right side
   78,837x = 14,178,736,550.25
5. Step 5: Solve for x
   x = 14,178,736,550.25/78,837
6. Step 6: Final answer
   x = 179,848.76