Finding the Third Proportional to 105,659 and 155,254

Step by Step Solution

1. Step 1: Write the proportion equation
   105,659 : 155,254 = 155,254 : x
2. Step 2: Convert to fraction form
   105,659/155,254 = 155,254/x
3. Step 3: Cross multiply
   105,659x = 155,254 × 155,254
4. Step 4: Simplify right side
   105,659x = 24,103,804,516
5. Step 5: Solve for x
   x = 24,103,804,516/105,659
6. Step 6: Final answer
   x = 228,128.27