Finding the Third Proportional to 205,188 and 309,132

Step by Step Solution

1. Step 1: Write the proportion equation
   205,188 : 309,132 = 309,132 : x
2. Step 2: Convert to fraction form
   205,188/309,132 = 309,132/x
3. Step 3: Cross multiply
   205,188x = 309,132 × 309,132
4. Step 4: Simplify right side
   205,188x = 95,562,593,424
5. Step 5: Solve for x
   x = 95,562,593,424/205,188
6. Step 6: Final answer
   x = 465,731.88