Finding the Third Proportional to 68,234 and 148,123

Step by Step Solution

1. Step 1: Write the proportion equation
   68,234 : 148,123 = 148,123 : x
2. Step 2: Convert to fraction form
   68,234/148,123 = 148,123/x
3. Step 3: Cross multiply
   68,234x = 148,123 × 148,123
4. Step 4: Simplify right side
   68,234x = 21,940,423,129
5. Step 5: Solve for x
   x = 21,940,423,129/68,234
6. Step 6: Final answer
   x = 321,546.78