Finding the Third Proportional to 311,972.50 and 502,404

Step by Step Solution

1. Step 1: Write the proportion equation
   311,972.50 : 502,404 = 502,404 : x
2. Step 2: Convert to fraction form
   311,972.50/502,404 = 502,404/x
3. Step 3: Cross multiply
   311,972.50x = 502,404 × 502,404
4. Step 4: Simplify right side
   311,972.50x = 252,409,779,216
5. Step 5: Solve for x
   x = 252,409,779,216/311,972.50
6. Step 6: Final answer
   x = 809,077.02