Finding the Third Proportional to 49,296 and 107,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,296 : 107,398.50 = 107,398.50 : x
2. Step 2: Convert to fraction form
   49,296/107,398.50 = 107,398.50/x
3. Step 3: Cross multiply
   49,296x = 107,398.50 × 107,398.50
4. Step 4: Simplify right side
   49,296x = 11,534,437,802.25
5. Step 5: Solve for x
   x = 11,534,437,802.25/49,296
6. Step 6: Final answer
   x = 233,983.24