Finding the Third Proportional to 55,842 and 120,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,842 : 120,432.50 = 120,432.50 : x
2. Step 2: Convert to fraction form
   55,842/120,432.50 = 120,432.50/x
3. Step 3: Cross multiply
   55,842x = 120,432.50 × 120,432.50
4. Step 4: Simplify right side
   55,842x = 14,503,987,056.25
5. Step 5: Solve for x
   x = 14,503,987,056.25/55,842
6. Step 6: Final answer
   x = 259,732.59