Finding the Third Proportional to 182,817 and 260,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,817 : 260,617.50 = 260,617.50 : x
2. Step 2: Convert to fraction form
   182,817/260,617.50 = 260,617.50/x
3. Step 3: Cross multiply
   182,817x = 260,617.50 × 260,617.50
4. Step 4: Simplify right side
   182,817x = 67,921,481,306.25
5. Step 5: Solve for x
   x = 67,921,481,306.25/182,817
6. Step 6: Final answer
   x = 371,527.16