Finding the Third Proportional to 49,114 and 107,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,114 : 107,223.50 = 107,223.50 : x
2. Step 2: Convert to fraction form
   49,114/107,223.50 = 107,223.50/x
3. Step 3: Cross multiply
   49,114x = 107,223.50 × 107,223.50
4. Step 4: Simplify right side
   49,114x = 11,496,878,952.25
5. Step 5: Solve for x
   x = 11,496,878,952.25/49,114
6. Step 6: Final answer
   x = 234,085.58