Finding the Third Proportional to 55,458 and 119,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,458 : 119,209.50 = 119,209.50 : x
2. Step 2: Convert to fraction form
   55,458/119,209.50 = 119,209.50/x
3. Step 3: Cross multiply
   55,458x = 119,209.50 × 119,209.50
4. Step 4: Simplify right side
   55,458x = 14,210,904,890.25
5. Step 5: Solve for x
   x = 14,210,904,890.25/55,458
6. Step 6: Final answer
   x = 256,246.26