Finding the Third Proportional to 105,417 and 167,510.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,417 : 167,510.25 = 167,510.25 : x
2. Step 2: Convert to fraction form
   105,417/167,510.25 = 167,510.25/x
3. Step 3: Cross multiply
   105,417x = 167,510.25 × 167,510.25
4. Step 4: Simplify right side
   105,417x = 28,059,683,855.06
5. Step 5: Solve for x
   x = 28,059,683,855.06/105,417
6. Step 6: Final answer
   x = 266,177.98