Finding the Third Proportional to 253,826 and 380,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,826 : 380,788.50 = 380,788.50 : x
2. Step 2: Convert to fraction form
   253,826/380,788.50 = 380,788.50/x
3. Step 3: Cross multiply
   253,826x = 380,788.50 × 380,788.50
4. Step 4: Simplify right side
   253,826x = 144,999,881,732.25
5. Step 5: Solve for x
   x = 144,999,881,732.25/253,826
6. Step 6: Final answer
   x = 571,257.01