Finding the Third Proportional to 119,655 and 185,794.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,655 : 185,794.50 = 185,794.50 : x
2. Step 2: Convert to fraction form
   119,655/185,794.50 = 185,794.50/x
3. Step 3: Cross multiply
   119,655x = 185,794.50 × 185,794.50
4. Step 4: Simplify right side
   119,655x = 34,519,596,230.25
5. Step 5: Solve for x
   x = 34,519,596,230.25/119,655
6. Step 6: Final answer
   x = 288,492.72