Finding the Third Proportional to 182,766 and 286,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,766 : 286,771.50 = 286,771.50 : x
2. Step 2: Convert to fraction form
   182,766/286,771.50 = 286,771.50/x
3. Step 3: Cross multiply
   182,766x = 286,771.50 × 286,771.50
4. Step 4: Simplify right side
   182,766x = 82,237,893,212.25
5. Step 5: Solve for x
   x = 82,237,893,212.25/182,766
6. Step 6: Final answer
   x = 449,962.76