Finding the Third Proportional to 172,336 and 365,516

Step by Step Solution

1. Step 1: Write the proportion equation
   172,336 : 365,516 = 365,516 : x
2. Step 2: Convert to fraction form
   172,336/365,516 = 365,516/x
3. Step 3: Cross multiply
   172,336x = 365,516 × 365,516
4. Step 4: Simplify right side
   172,336x = 133,601,946,256
5. Step 5: Solve for x
   x = 133,601,946,256/172,336
6. Step 6: Final answer
   x = 775,241.08