Finding the Third Proportional to 349,389 and 527,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,389 : 527,404.50 = 527,404.50 : x
2. Step 2: Convert to fraction form
   349,389/527,404.50 = 527,404.50/x
3. Step 3: Cross multiply
   349,389x = 527,404.50 × 527,404.50
4. Step 4: Simplify right side
   349,389x = 278,155,506,620.25
5. Step 5: Solve for x
   x = 278,155,506,620.25/349,389
6. Step 6: Final answer
   x = 796,119.82