Finding the Third Proportional to 205,172 and 309,108

Step by Step Solution

1. Step 1: Write the proportion equation
   205,172 : 309,108 = 309,108 : x
2. Step 2: Convert to fraction form
   205,172/309,108 = 309,108/x
3. Step 3: Cross multiply
   205,172x = 309,108 × 309,108
4. Step 4: Simplify right side
   205,172x = 95,547,755,664
5. Step 5: Solve for x
   x = 95,547,755,664/205,172
6. Step 6: Final answer
   x = 465,695.88