Finding the Third Proportional to 235,672.50 and 333,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,672.50 : 333,211.50 = 333,211.50 : x
2. Step 2: Convert to fraction form
   235,672.50/333,211.50 = 333,211.50/x
3. Step 3: Cross multiply
   235,672.50x = 333,211.50 × 333,211.50
4. Step 4: Simplify right side
   235,672.50x = 111,029,903,732.25
5. Step 5: Solve for x
   x = 111,029,903,732.25/235,672.50
6. Step 6: Final answer
   x = 471,119.47