Finding the Third Proportional to 55,209 and 119,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,209 : 119,164.50 = 119,164.50 : x
2. Step 2: Convert to fraction form
   55,209/119,164.50 = 119,164.50/x
3. Step 3: Cross multiply
   55,209x = 119,164.50 × 119,164.50
4. Step 4: Simplify right side
   55,209x = 14,200,178,060.25
5. Step 5: Solve for x
   x = 14,200,178,060.25/55,209
6. Step 6: Final answer
   x = 257,207.67