Finding the Third Proportional to 76,014 and 164,123

Step by Step Solution

1. Step 1: Write the proportion equation
   76,014 : 164,123 = 164,123 : x
2. Step 2: Convert to fraction form
   76,014/164,123 = 164,123/x
3. Step 3: Cross multiply
   76,014x = 164,123 × 164,123
4. Step 4: Simplify right side
   76,014x = 26,936,359,129
5. Step 5: Solve for x
   x = 26,936,359,129/76,014
6. Step 6: Final answer
   x = 354,360.50