Finding the Third Proportional to 105,117 and 167,343

Step by Step Solution

1. Step 1: Write the proportion equation
   105,117 : 167,343 = 167,343 : x
2. Step 2: Convert to fraction form
   105,117/167,343 = 167,343/x
3. Step 3: Cross multiply
   105,117x = 167,343 × 167,343
4. Step 4: Simplify right side
   105,117x = 28,003,679,649
5. Step 5: Solve for x
   x = 28,003,679,649/105,117
6. Step 6: Final answer
   x = 266,404.86