Finding the Third Proportional to 124,563 and 192,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,563 : 192,964.50 = 192,964.50 : x
2. Step 2: Convert to fraction form
   124,563/192,964.50 = 192,964.50/x
3. Step 3: Cross multiply
   124,563x = 192,964.50 × 192,964.50
4. Step 4: Simplify right side
   124,563x = 37,235,298,260.25
5. Step 5: Solve for x
   x = 37,235,298,260.25/124,563
6. Step 6: Final answer
   x = 298,927.44