Finding the Third Proportional to 115,842 and 253,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,842 : 253,825.50 = 253,825.50 : x
2. Step 2: Convert to fraction form
   115,842/253,825.50 = 253,825.50/x
3. Step 3: Cross multiply
   115,842x = 253,825.50 × 253,825.50
4. Step 4: Simplify right side
   115,842x = 64,427,384,450.25
5. Step 5: Solve for x
   x = 64,427,384,450.25/115,842
6. Step 6: Final answer
   x = 556,166.02