Finding the Third Proportional to 105,762 and 164,014

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 164,014 = 164,014 : x
2. Step 2: Convert to fraction form
   105,762/164,014 = 164,014/x
3. Step 3: Cross multiply
   105,762x = 164,014 × 164,014
4. Step 4: Simplify right side
   105,762x = 26,900,592,196
5. Step 5: Solve for x
   x = 26,900,592,196/105,762
6. Step 6: Final answer
   x = 254,350.26