Finding the Third Proportional to 49,365 and 106,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,365 : 106,933.50 = 106,933.50 : x
2. Step 2: Convert to fraction form
   49,365/106,933.50 = 106,933.50/x
3. Step 3: Cross multiply
   49,365x = 106,933.50 × 106,933.50
4. Step 4: Simplify right side
   49,365x = 11,434,773,422.25
5. Step 5: Solve for x
   x = 11,434,773,422.25/49,365
6. Step 6: Final answer
   x = 231,637.26