Finding the Third Proportional to 178,518 and 260,935.69

Step by Step Solution

1. Step 1: Write the proportion equation
   178,518 : 260,935.69 = 260,935.69 : x
2. Step 2: Convert to fraction form
   178,518/260,935.69 = 260,935.69/x
3. Step 3: Cross multiply
   178,518x = 260,935.69 × 260,935.69
4. Step 4: Simplify right side
   178,518x = 68,087,433,011.10
5. Step 5: Solve for x
   x = 68,087,433,011.10/178,518
6. Step 6: Final answer
   x = 381,403.74