Finding the Third Proportional to 49,026.50 and 105,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,026.50 : 105,828.50 = 105,828.50 : x
2. Step 2: Convert to fraction form
   49,026.50/105,828.50 = 105,828.50/x
3. Step 3: Cross multiply
   49,026.50x = 105,828.50 × 105,828.50
4. Step 4: Simplify right side
   49,026.50x = 11,199,671,412.25
5. Step 5: Solve for x
   x = 11,199,671,412.25/49,026.50
6. Step 6: Final answer
   x = 228,441.18