Finding the Third Proportional to 178,417.50 and 260,928

Step by Step Solution

1. Step 1: Write the proportion equation
   178,417.50 : 260,928 = 260,928 : x
2. Step 2: Convert to fraction form
   178,417.50/260,928 = 260,928/x
3. Step 3: Cross multiply
   178,417.50x = 260,928 × 260,928
4. Step 4: Simplify right side
   178,417.50x = 68,083,421,184
5. Step 5: Solve for x
   x = 68,083,421,184/178,417.50
6. Step 6: Final answer
   x = 381,596.09