Finding the Third Proportional to 233,184 and 354,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,184 : 354,337.50 = 354,337.50 : x
2. Step 2: Convert to fraction form
   233,184/354,337.50 = 354,337.50/x
3. Step 3: Cross multiply
   233,184x = 354,337.50 × 354,337.50
4. Step 4: Simplify right side
   233,184x = 125,555,063,906.25
5. Step 5: Solve for x
   x = 125,555,063,906.25/233,184
6. Step 6: Final answer
   x = 538,437.73