Finding the Third Proportional to 251,848 and 380,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,848 : 380,197.50 = 380,197.50 : x
2. Step 2: Convert to fraction form
   251,848/380,197.50 = 380,197.50/x
3. Step 3: Cross multiply
   251,848x = 380,197.50 × 380,197.50
4. Step 4: Simplify right side
   251,848x = 144,550,139,006.25
5. Step 5: Solve for x
   x = 144,550,139,006.25/251,848
6. Step 6: Final answer
   x = 573,957.86