Finding the Third Proportional to 119,178 and 262,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,178 : 262,048.50 = 262,048.50 : x
2. Step 2: Convert to fraction form
   119,178/262,048.50 = 262,048.50/x
3. Step 3: Cross multiply
   119,178x = 262,048.50 × 262,048.50
4. Step 4: Simplify right side
   119,178x = 68,669,416,352.25
5. Step 5: Solve for x
   x = 68,669,416,352.25/119,178
6. Step 6: Final answer
   x = 576,192.05