Finding the Third Proportional to 49,646.25 and 117,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,646.25 : 117,096.75 = 117,096.75 : x
2. Step 2: Convert to fraction form
   49,646.25/117,096.75 = 117,096.75/x
3. Step 3: Cross multiply
   49,646.25x = 117,096.75 × 117,096.75
4. Step 4: Simplify right side
   49,646.25x = 13,711,648,860.56
5. Step 5: Solve for x
   x = 13,711,648,860.56/49,646.25
6. Step 6: Final answer
   x = 276,187.00