Finding the Third Proportional to 55,206 and 120,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,206 : 120,073.50 = 120,073.50 : x
2. Step 2: Convert to fraction form
   55,206/120,073.50 = 120,073.50/x
3. Step 3: Cross multiply
   55,206x = 120,073.50 × 120,073.50
4. Step 4: Simplify right side
   55,206x = 14,417,645,402.25
5. Step 5: Solve for x
   x = 14,417,645,402.25/55,206
6. Step 6: Final answer
   x = 261,160.84