Finding the Third Proportional to 349,767 and 522,483.75

Step by Step Solution

1. Step 1: Write the proportion equation
   349,767 : 522,483.75 = 522,483.75 : x
2. Step 2: Convert to fraction form
   349,767/522,483.75 = 522,483.75/x
3. Step 3: Cross multiply
   349,767x = 522,483.75 × 522,483.75
4. Step 4: Simplify right side
   349,767x = 272,989,269,014.06
5. Step 5: Solve for x
   x = 272,989,269,014.06/349,767
6. Step 6: Final answer
   x = 780,488.92