Finding the Third Proportional to 103,982 and 148,698

Step by Step Solution

1. Step 1: Write the proportion equation
   103,982 : 148,698 = 148,698 : x
2. Step 2: Convert to fraction form
   103,982/148,698 = 148,698/x
3. Step 3: Cross multiply
   103,982x = 148,698 × 148,698
4. Step 4: Simplify right side
   103,982x = 22,111,095,204
5. Step 5: Solve for x
   x = 22,111,095,204/103,982
6. Step 6: Final answer
   x = 212,643.49