Finding the Third Proportional to 105,550 and 164,023

Step by Step Solution

1. Step 1: Write the proportion equation
   105,550 : 164,023 = 164,023 : x
2. Step 2: Convert to fraction form
   105,550/164,023 = 164,023/x
3. Step 3: Cross multiply
   105,550x = 164,023 × 164,023
4. Step 4: Simplify right side
   105,550x = 26,903,544,529
5. Step 5: Solve for x
   x = 26,903,544,529/105,550
6. Step 6: Final answer
   x = 254,889.10