Finding the Third Proportional to 55,856 and 121,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,856 : 121,748.50 = 121,748.50 : x
2. Step 2: Convert to fraction form
   55,856/121,748.50 = 121,748.50/x
3. Step 3: Cross multiply
   55,856x = 121,748.50 × 121,748.50
4. Step 4: Simplify right side
   55,856x = 14,822,697,252.25
5. Step 5: Solve for x
   x = 14,822,697,252.25/55,856
6. Step 6: Final answer
   x = 265,373.41