Finding the Third Proportional to 56,196 and 119,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,196 : 119,542.50 = 119,542.50 : x
2. Step 2: Convert to fraction form
   56,196/119,542.50 = 119,542.50/x
3. Step 3: Cross multiply
   56,196x = 119,542.50 × 119,542.50
4. Step 4: Simplify right side
   56,196x = 14,290,409,306.25
5. Step 5: Solve for x
   x = 14,290,409,306.25/56,196
6. Step 6: Final answer
   x = 254,295.85