Finding the Third Proportional to 164,243.50 and 354,123

Step by Step Solution

1. Step 1: Write the proportion equation
   164,243.50 : 354,123 = 354,123 : x
2. Step 2: Convert to fraction form
   164,243.50/354,123 = 354,123/x
3. Step 3: Cross multiply
   164,243.50x = 354,123 × 354,123
4. Step 4: Simplify right side
   164,243.50x = 125,403,099,129
5. Step 5: Solve for x
   x = 125,403,099,129/164,243.50
6. Step 6: Final answer
   x = 763,519.40