Finding the Third Proportional to 213,277.50 and 493,746

Step by Step Solution

1. Step 1: Write the proportion equation
   213,277.50 : 493,746 = 493,746 : x
2. Step 2: Convert to fraction form
   213,277.50/493,746 = 493,746/x
3. Step 3: Cross multiply
   213,277.50x = 493,746 × 493,746
4. Step 4: Simplify right side
   213,277.50x = 243,785,112,516
5. Step 5: Solve for x
   x = 243,785,112,516/213,277.50
6. Step 6: Final answer
   x = 1,143,041.87