Finding the Third Proportional to 49,379 and 116,493.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,379 : 116,493.25 = 116,493.25 : x
2. Step 2: Convert to fraction form
   49,379/116,493.25 = 116,493.25/x
3. Step 3: Cross multiply
   49,379x = 116,493.25 × 116,493.25
4. Step 4: Simplify right side
   49,379x = 13,570,677,295.56
5. Step 5: Solve for x
   x = 13,570,677,295.56/49,379
6. Step 6: Final answer
   x = 274,826.90