Finding the Third Proportional to 349,116 and 533,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,116 : 533,819.50 = 533,819.50 : x
2. Step 2: Convert to fraction form
   349,116/533,819.50 = 533,819.50/x
3. Step 3: Cross multiply
   349,116x = 533,819.50 × 533,819.50
4. Step 4: Simplify right side
   349,116x = 284,963,258,580.25
5. Step 5: Solve for x
   x = 284,963,258,580.25/349,116
6. Step 6: Final answer
   x = 816,242.33