Finding the Third Proportional to 49,385 and 78,451

Step by Step Solution

1. Step 1: Write the proportion equation
   49,385 : 78,451 = 78,451 : x
2. Step 2: Convert to fraction form
   49,385/78,451 = 78,451/x
3. Step 3: Cross multiply
   49,385x = 78,451 × 78,451
4. Step 4: Simplify right side
   49,385x = 6,154,559,401
5. Step 5: Solve for x
   x = 6,154,559,401/49,385
6. Step 6: Final answer
   x = 124,624.06