Finding the Third Proportional to 251,886 and 423,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,886 : 423,025.50 = 423,025.50 : x
2. Step 2: Convert to fraction form
   251,886/423,025.50 = 423,025.50/x
3. Step 3: Cross multiply
   251,886x = 423,025.50 × 423,025.50
4. Step 4: Simplify right side
   251,886x = 178,950,573,650.25
5. Step 5: Solve for x
   x = 178,950,573,650.25/251,886
6. Step 6: Final answer
   x = 710,442.71