Finding the Third Proportional to 349,969 and 542,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,969 : 542,929.50 = 542,929.50 : x
2. Step 2: Convert to fraction form
   349,969/542,929.50 = 542,929.50/x
3. Step 3: Cross multiply
   349,969x = 542,929.50 × 542,929.50
4. Step 4: Simplify right side
   349,969x = 294,772,441,970.25
5. Step 5: Solve for x
   x = 294,772,441,970.25/349,969
6. Step 6: Final answer
   x = 842,281.58