Finding the Third Proportional to 361,827 and 531,906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   361,827 : 531,906.75 = 531,906.75 : x
2. Step 2: Convert to fraction form
   361,827/531,906.75 = 531,906.75/x
3. Step 3: Cross multiply
   361,827x = 531,906.75 × 531,906.75
4. Step 4: Simplify right side
   361,827x = 282,924,790,695.56
5. Step 5: Solve for x
   x = 282,924,790,695.56/361,827
6. Step 6: Final answer
   x = 781,933.88