Finding the Third Proportional to 186,595.50 and 280,830

Step by Step Solution

1. Step 1: Write the proportion equation
   186,595.50 : 280,830 = 280,830 : x
2. Step 2: Convert to fraction form
   186,595.50/280,830 = 280,830/x
3. Step 3: Cross multiply
   186,595.50x = 280,830 × 280,830
4. Step 4: Simplify right side
   186,595.50x = 78,865,488,900
5. Step 5: Solve for x
   x = 78,865,488,900/186,595.50
6. Step 6: Final answer
   x = 422,654.83