Finding the Third Proportional to 233,583 and 360,726

Step by Step Solution

1. Step 1: Write the proportion equation
   233,583 : 360,726 = 360,726 : x
2. Step 2: Convert to fraction form
   233,583/360,726 = 360,726/x
3. Step 3: Cross multiply
   233,583x = 360,726 × 360,726
4. Step 4: Simplify right side
   233,583x = 130,123,247,076
5. Step 5: Solve for x
   x = 130,123,247,076/233,583
6. Step 6: Final answer
   x = 557,074.99