Finding the Third Proportional to 103,978 and 148,694

Step by Step Solution

1. Step 1: Write the proportion equation
   103,978 : 148,694 = 148,694 : x
2. Step 2: Convert to fraction form
   103,978/148,694 = 148,694/x
3. Step 3: Cross multiply
   103,978x = 148,694 × 148,694
4. Step 4: Simplify right side
   103,978x = 22,109,905,636
5. Step 5: Solve for x
   x = 22,109,905,636/103,978
6. Step 6: Final answer
   x = 212,640.23