Finding the Third Proportional to 56,538 and 121,662

Step by Step Solution

1. Step 1: Write the proportion equation
   56,538 : 121,662 = 121,662 : x
2. Step 2: Convert to fraction form
   56,538/121,662 = 121,662/x
3. Step 3: Cross multiply
   56,538x = 121,662 × 121,662
4. Step 4: Simplify right side
   56,538x = 14,801,642,244
5. Step 5: Solve for x
   x = 14,801,642,244/56,538
6. Step 6: Final answer
   x = 261,799.89