Finding the Third Proportional to 251,838 and 380,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,838 : 380,182.50 = 380,182.50 : x
2. Step 2: Convert to fraction form
   251,838/380,182.50 = 380,182.50/x
3. Step 3: Cross multiply
   251,838x = 380,182.50 × 380,182.50
4. Step 4: Simplify right side
   251,838x = 144,538,733,306.25
5. Step 5: Solve for x
   x = 144,538,733,306.25/251,838
6. Step 6: Final answer
   x = 573,935.36