Finding the Third Proportional to 185,624 and 282,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,624 : 282,788.50 = 282,788.50 : x
2. Step 2: Convert to fraction form
   185,624/282,788.50 = 282,788.50/x
3. Step 3: Cross multiply
   185,624x = 282,788.50 × 282,788.50
4. Step 4: Simplify right side
   185,624x = 79,969,335,732.25
5. Step 5: Solve for x
   x = 79,969,335,732.25/185,624
6. Step 6: Final answer
   x = 430,813.56