Finding the Third Proportional to 78,322 and 126,109

Step by Step Solution

1. Step 1: Write the proportion equation
   78,322 : 126,109 = 126,109 : x
2. Step 2: Convert to fraction form
   78,322/126,109 = 126,109/x
3. Step 3: Cross multiply
   78,322x = 126,109 × 126,109
4. Step 4: Simplify right side
   78,322x = 15,903,479,881
5. Step 5: Solve for x
   x = 15,903,479,881/78,322
6. Step 6: Final answer
   x = 203,052.53