Finding the Third Proportional to 233,269.50 and 360,216

Step by Step Solution

1. Step 1: Write the proportion equation
   233,269.50 : 360,216 = 360,216 : x
2. Step 2: Convert to fraction form
   233,269.50/360,216 = 360,216/x
3. Step 3: Cross multiply
   233,269.50x = 360,216 × 360,216
4. Step 4: Simplify right side
   233,269.50x = 129,755,566,656
5. Step 5: Solve for x
   x = 129,755,566,656/233,269.50
6. Step 6: Final answer
   x = 556,247.46