Finding the Third Proportional to 68,978 and 147,123

Step by Step Solution

1. Step 1: Write the proportion equation
   68,978 : 147,123 = 147,123 : x
2. Step 2: Convert to fraction form
   68,978/147,123 = 147,123/x
3. Step 3: Cross multiply
   68,978x = 147,123 × 147,123
4. Step 4: Simplify right side
   68,978x = 21,645,177,129
5. Step 5: Solve for x
   x = 21,645,177,129/68,978
6. Step 6: Final answer
   x = 313,798.27