Finding the Third Proportional to 353,827 and 520,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,827 : 520,300.50 = 520,300.50 : x
2. Step 2: Convert to fraction form
   353,827/520,300.50 = 520,300.50/x
3. Step 3: Cross multiply
   353,827x = 520,300.50 × 520,300.50
4. Step 4: Simplify right side
   353,827x = 270,712,610,300.25
5. Step 5: Solve for x
   x = 270,712,610,300.25/353,827
6. Step 6: Final answer
   x = 765,098.79