Finding the Third Proportional to 49,106 and 76,211

Step by Step Solution

1. Step 1: Write the proportion equation
   49,106 : 76,211 = 76,211 : x
2. Step 2: Convert to fraction form
   49,106/76,211 = 76,211/x
3. Step 3: Cross multiply
   49,106x = 76,211 × 76,211
4. Step 4: Simplify right side
   49,106x = 5,808,116,521
5. Step 5: Solve for x
   x = 5,808,116,521/49,106
6. Step 6: Final answer
   x = 118,277.13