Finding the Third Proportional to 105,990 and 148,554

Step by Step Solution

1. Step 1: Write the proportion equation
   105,990 : 148,554 = 148,554 : x
2. Step 2: Convert to fraction form
   105,990/148,554 = 148,554/x
3. Step 3: Cross multiply
   105,990x = 148,554 × 148,554
4. Step 4: Simplify right side
   105,990x = 22,068,290,916
5. Step 5: Solve for x
   x = 22,068,290,916/105,990
6. Step 6: Final answer
   x = 208,211.07