Finding the Third Proportional to 55,188 and 119,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,188 : 119,978.50 = 119,978.50 : x
2. Step 2: Convert to fraction form
   55,188/119,978.50 = 119,978.50/x
3. Step 3: Cross multiply
   55,188x = 119,978.50 × 119,978.50
4. Step 4: Simplify right side
   55,188x = 14,394,840,462.25
5. Step 5: Solve for x
   x = 14,394,840,462.25/55,188
6. Step 6: Final answer
   x = 260,832.80