Finding the Third Proportional to 175,812 and 262,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,812 : 262,558.50 = 262,558.50 : x
2. Step 2: Convert to fraction form
   175,812/262,558.50 = 262,558.50/x
3. Step 3: Cross multiply
   175,812x = 262,558.50 × 262,558.50
4. Step 4: Simplify right side
   175,812x = 68,936,965,922.25
5. Step 5: Solve for x
   x = 68,936,965,922.25/175,812
6. Step 6: Final answer
   x = 392,106.15