Finding the Third Proportional to 101,833.50 and 223,746

Step by Step Solution

1. Step 1: Write the proportion equation
   101,833.50 : 223,746 = 223,746 : x
2. Step 2: Convert to fraction form
   101,833.50/223,746 = 223,746/x
3. Step 3: Cross multiply
   101,833.50x = 223,746 × 223,746
4. Step 4: Simplify right side
   101,833.50x = 50,062,272,516
5. Step 5: Solve for x
   x = 50,062,272,516/101,833.50
6. Step 6: Final answer
   x = 491,609.07