Finding the Third Proportional to 233,154 and 354,291.75

Step by Step Solution

1. Step 1: Write the proportion equation
   233,154 : 354,291.75 = 354,291.75 : x
2. Step 2: Convert to fraction form
   233,154/354,291.75 = 354,291.75/x
3. Step 3: Cross multiply
   233,154x = 354,291.75 × 354,291.75
4. Step 4: Simplify right side
   233,154x = 125,522,644,118.06
5. Step 5: Solve for x
   x = 125,522,644,118.06/233,154
6. Step 6: Final answer
   x = 538,367.96