Finding the Third Proportional to 56,026 and 120,549

Step by Step Solution

1. Step 1: Write the proportion equation
   56,026 : 120,549 = 120,549 : x
2. Step 2: Convert to fraction form
   56,026/120,549 = 120,549/x
3. Step 3: Cross multiply
   56,026x = 120,549 × 120,549
4. Step 4: Simplify right side
   56,026x = 14,532,061,401
5. Step 5: Solve for x
   x = 14,532,061,401/56,026
6. Step 6: Final answer
   x = 259,380.67