Finding the Third Proportional to 360,184.50 and 521,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   360,184.50 : 521,680.50 = 521,680.50 : x
2. Step 2: Convert to fraction form
   360,184.50/521,680.50 = 521,680.50/x
3. Step 3: Cross multiply
   360,184.50x = 521,680.50 × 521,680.50
4. Step 4: Simplify right side
   360,184.50x = 272,150,544,080.25
5. Step 5: Solve for x
   x = 272,150,544,080.25/360,184.50
6. Step 6: Final answer
   x = 755,586.50