Finding the Third Proportional to 105,204 and 147,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 147,978 = 147,978 : x
2. Step 2: Convert to fraction form
   105,204/147,978 = 147,978/x
3. Step 3: Cross multiply
   105,204x = 147,978 × 147,978
4. Step 4: Simplify right side
   105,204x = 21,897,488,484
5. Step 5: Solve for x
   x = 21,897,488,484/105,204
6. Step 6: Final answer
   x = 208,143.12