Finding the Third Proportional to 175,551 and 262,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,551 : 262,942.50 = 262,942.50 : x
2. Step 2: Convert to fraction form
   175,551/262,942.50 = 262,942.50/x
3. Step 3: Cross multiply
   175,551x = 262,942.50 × 262,942.50
4. Step 4: Simplify right side
   175,551x = 69,138,758,306.25
5. Step 5: Solve for x
   x = 69,138,758,306.25/175,551
6. Step 6: Final answer
   x = 393,838.59