Finding the Third Proportional to 55,506.38 and 119,892

Step by Step Solution

1. Step 1: Write the proportion equation
   55,506.38 : 119,892 = 119,892 : x
2. Step 2: Convert to fraction form
   55,506.38/119,892 = 119,892/x
3. Step 3: Cross multiply
   55,506.38x = 119,892 × 119,892
4. Step 4: Simplify right side
   55,506.38x = 14,374,091,664
5. Step 5: Solve for x
   x = 14,374,091,664/55,506.38
6. Step 6: Final answer
   x = 258,962.90