Finding the Third Proportional to 78,139 and 120,451

Step by Step Solution

1. Step 1: Write the proportion equation
   78,139 : 120,451 = 120,451 : x
2. Step 2: Convert to fraction form
   78,139/120,451 = 120,451/x
3. Step 3: Cross multiply
   78,139x = 120,451 × 120,451
4. Step 4: Simplify right side
   78,139x = 14,508,443,401
5. Step 5: Solve for x
   x = 14,508,443,401/78,139
6. Step 6: Final answer
   x = 185,674.80