Finding the Third Proportional to 226,507.50 and 333,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,507.50 : 333,184.50 = 333,184.50 : x
2. Step 2: Convert to fraction form
   226,507.50/333,184.50 = 333,184.50/x
3. Step 3: Cross multiply
   226,507.50x = 333,184.50 × 333,184.50
4. Step 4: Simplify right side
   226,507.50x = 111,011,911,040.25
5. Step 5: Solve for x
   x = 111,011,911,040.25/226,507.50
6. Step 6: Final answer
   x = 490,102.58