Finding the Third Proportional to 49,161 and 115,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,161 : 115,558.50 = 115,558.50 : x
2. Step 2: Convert to fraction form
   49,161/115,558.50 = 115,558.50/x
3. Step 3: Cross multiply
   49,161x = 115,558.50 × 115,558.50
4. Step 4: Simplify right side
   49,161x = 13,353,766,922.25
5. Step 5: Solve for x
   x = 13,353,766,922.25/49,161
6. Step 6: Final answer
   x = 271,633.35