Finding the Third Proportional to 49,653.50 and 117,114

Step by Step Solution

1. Step 1: Write the proportion equation
   49,653.50 : 117,114 = 117,114 : x
2. Step 2: Convert to fraction form
   49,653.50/117,114 = 117,114/x
3. Step 3: Cross multiply
   49,653.50x = 117,114 × 117,114
4. Step 4: Simplify right side
   49,653.50x = 13,715,688,996
5. Step 5: Solve for x
   x = 13,715,688,996/49,653.50
6. Step 6: Final answer
   x = 276,228.04