Finding the Third Proportional to 175,540 and 260,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,540 : 260,029.50 = 260,029.50 : x
2. Step 2: Convert to fraction form
   175,540/260,029.50 = 260,029.50/x
3. Step 3: Cross multiply
   175,540x = 260,029.50 × 260,029.50
4. Step 4: Simplify right side
   175,540x = 67,615,340,870.25
5. Step 5: Solve for x
   x = 67,615,340,870.25/175,540
6. Step 6: Final answer
   x = 385,184.81