Finding the Third Proportional to 349,983 and 542,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,983 : 542,956.50 = 542,956.50 : x
2. Step 2: Convert to fraction form
   349,983/542,956.50 = 542,956.50/x
3. Step 3: Cross multiply
   349,983x = 542,956.50 × 542,956.50
4. Step 4: Simplify right side
   349,983x = 294,801,760,892.25
5. Step 5: Solve for x
   x = 294,801,760,892.25/349,983
6. Step 6: Final answer
   x = 842,331.66