Finding the Third Proportional to 49,770 and 109,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,770 : 109,381.50 = 109,381.50 : x
2. Step 2: Convert to fraction form
   49,770/109,381.50 = 109,381.50/x
3. Step 3: Cross multiply
   49,770x = 109,381.50 × 109,381.50
4. Step 4: Simplify right side
   49,770x = 11,964,312,542.25
5. Step 5: Solve for x
   x = 11,964,312,542.25/49,770
6. Step 6: Final answer
   x = 240,392.05