Finding the Third Proportional to 49,662 and 117,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,662 : 117,146.25 = 117,146.25 : x
2. Step 2: Convert to fraction form
   49,662/117,146.25 = 117,146.25/x
3. Step 3: Cross multiply
   49,662x = 117,146.25 × 117,146.25
4. Step 4: Simplify right side
   49,662x = 13,723,243,889.06
5. Step 5: Solve for x
   x = 13,723,243,889.06/49,662
6. Step 6: Final answer
   x = 276,332.89