Finding the Third Proportional to 119,604 and 185,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,604 : 185,074.50 = 185,074.50 : x
2. Step 2: Convert to fraction form
   119,604/185,074.50 = 185,074.50/x
3. Step 3: Cross multiply
   119,604x = 185,074.50 × 185,074.50
4. Step 4: Simplify right side
   119,604x = 34,252,570,550.25
5. Step 5: Solve for x
   x = 34,252,570,550.25/119,604
6. Step 6: Final answer
   x = 286,383.15