Finding the Third Proportional to 105,970 and 148,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,970 : 148,538 = 148,538 : x
2. Step 2: Convert to fraction form
   105,970/148,538 = 148,538/x
3. Step 3: Cross multiply
   105,970x = 148,538 × 148,538
4. Step 4: Simplify right side
   105,970x = 22,063,537,444
5. Step 5: Solve for x
   x = 22,063,537,444/105,970
6. Step 6: Final answer
   x = 208,205.51