Finding the Third Proportional to 49,656 and 106,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,656 : 106,420.50 = 106,420.50 : x
2. Step 2: Convert to fraction form
   49,656/106,420.50 = 106,420.50/x
3. Step 3: Cross multiply
   49,656x = 106,420.50 × 106,420.50
4. Step 4: Simplify right side
   49,656x = 11,325,322,820.25
5. Step 5: Solve for x
   x = 11,325,322,820.25/49,656
6. Step 6: Final answer
   x = 228,075.62