Finding the Third Proportional to 173,682 and 260,943.75

Step by Step Solution

1. Step 1: Write the proportion equation
   173,682 : 260,943.75 = 260,943.75 : x
2. Step 2: Convert to fraction form
   173,682/260,943.75 = 260,943.75/x
3. Step 3: Cross multiply
   173,682x = 260,943.75 × 260,943.75
4. Step 4: Simplify right side
   173,682x = 68,091,640,664.06
5. Step 5: Solve for x
   x = 68,091,640,664.06/173,682
6. Step 6: Final answer
   x = 392,047.77