Finding the Third Proportional to 49,005 and 105,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,005 : 105,289.50 = 105,289.50 : x
2. Step 2: Convert to fraction form
   49,005/105,289.50 = 105,289.50/x
3. Step 3: Cross multiply
   49,005x = 105,289.50 × 105,289.50
4. Step 4: Simplify right side
   49,005x = 11,085,878,810.25
5. Step 5: Solve for x
   x = 11,085,878,810.25/49,005
6. Step 6: Final answer
   x = 226,219.34