Finding the Third Proportional to 253,796 and 357,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,796 : 357,084.50 = 357,084.50 : x
2. Step 2: Convert to fraction form
   253,796/357,084.50 = 357,084.50/x
3. Step 3: Cross multiply
   253,796x = 357,084.50 × 357,084.50
4. Step 4: Simplify right side
   253,796x = 127,509,340,140.25
5. Step 5: Solve for x
   x = 127,509,340,140.25/253,796
6. Step 6: Final answer
   x = 502,408.79