Finding the Third Proportional to 49,653 and 117,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,653 : 117,112.50 = 117,112.50 : x
2. Step 2: Convert to fraction form
   49,653/117,112.50 = 117,112.50/x
3. Step 3: Cross multiply
   49,653x = 117,112.50 × 117,112.50
4. Step 4: Simplify right side
   49,653x = 13,715,337,656.25
5. Step 5: Solve for x
   x = 13,715,337,656.25/49,653
6. Step 6: Final answer
   x = 276,223.75