Finding the Third Proportional to 105,740 and 163,650

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 163,650 = 163,650 : x
2. Step 2: Convert to fraction form
   105,740/163,650 = 163,650/x
3. Step 3: Cross multiply
   105,740x = 163,650 × 163,650
4. Step 4: Simplify right side
   105,740x = 26,781,322,500
5. Step 5: Solve for x
   x = 26,781,322,500/105,740
6. Step 6: Final answer
   x = 253,275.23