Finding the Third Proportional to 326,272.50 and 459,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,272.50 : 459,472.50 = 459,472.50 : x
2. Step 2: Convert to fraction form
   326,272.50/459,472.50 = 459,472.50/x
3. Step 3: Cross multiply
   326,272.50x = 459,472.50 × 459,472.50
4. Step 4: Simplify right side
   326,272.50x = 211,114,978,256.25
5. Step 5: Solve for x
   x = 211,114,978,256.25/326,272.50
6. Step 6: Final answer
   x = 647,051.09