Finding the Third Proportional to 172,683 and 266,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,683 : 266,410.50 = 266,410.50 : x
2. Step 2: Convert to fraction form
   172,683/266,410.50 = 266,410.50/x
3. Step 3: Cross multiply
   172,683x = 266,410.50 × 266,410.50
4. Step 4: Simplify right side
   172,683x = 70,974,554,510.25
5. Step 5: Solve for x
   x = 70,974,554,510.25/172,683
6. Step 6: Final answer
   x = 411,010.66