Finding the Third Proportional to 55,377 and 120,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,377 : 120,777.50 = 120,777.50 : x
2. Step 2: Convert to fraction form
   55,377/120,777.50 = 120,777.50/x
3. Step 3: Cross multiply
   55,377x = 120,777.50 × 120,777.50
4. Step 4: Simplify right side
   55,377x = 14,587,204,506.25
5. Step 5: Solve for x
   x = 14,587,204,506.25/55,377
6. Step 6: Final answer
   x = 263,416.30