Finding the Third Proportional to 49,818.50 and 107,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,818.50 : 107,777.50 = 107,777.50 : x
2. Step 2: Convert to fraction form
   49,818.50/107,777.50 = 107,777.50/x
3. Step 3: Cross multiply
   49,818.50x = 107,777.50 × 107,777.50
4. Step 4: Simplify right side
   49,818.50x = 11,615,989,506.25
5. Step 5: Solve for x
   x = 11,615,989,506.25/49,818.50
6. Step 6: Final answer
   x = 233,166.18