Finding the Third Proportional to 55,250 and 120,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,250 : 120,948.50 = 120,948.50 : x
2. Step 2: Convert to fraction form
   55,250/120,948.50 = 120,948.50/x
3. Step 3: Cross multiply
   55,250x = 120,948.50 × 120,948.50
4. Step 4: Simplify right side
   55,250x = 14,628,539,652.25
5. Step 5: Solve for x
   x = 14,628,539,652.25/55,250
6. Step 6: Final answer
   x = 264,769.95