Finding the Third Proportional to 105,538 and 148,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,538 : 148,624 = 148,624 : x
2. Step 2: Convert to fraction form
   105,538/148,624 = 148,624/x
3. Step 3: Cross multiply
   105,538x = 148,624 × 148,624
4. Step 4: Simplify right side
   105,538x = 22,089,093,376
5. Step 5: Solve for x
   x = 22,089,093,376/105,538
6. Step 6: Final answer
   x = 209,299.91