Finding the Third Proportional to 55,196 and 119,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,196 : 119,139.50 = 119,139.50 : x
2. Step 2: Convert to fraction form
   55,196/119,139.50 = 119,139.50/x
3. Step 3: Cross multiply
   55,196x = 119,139.50 × 119,139.50
4. Step 4: Simplify right side
   55,196x = 14,194,220,460.25
5. Step 5: Solve for x
   x = 14,194,220,460.25/55,196
6. Step 6: Final answer
   x = 257,160.31