Finding the Third Proportional to 389,617 and 527,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389,617 : 527,977.50 = 527,977.50 : x
2. Step 2: Convert to fraction form
   389,617/527,977.50 = 527,977.50/x
3. Step 3: Cross multiply
   389,617x = 527,977.50 × 527,977.50
4. Step 4: Simplify right side
   389,617x = 278,760,240,506.25
5. Step 5: Solve for x
   x = 278,760,240,506.25/389,617
6. Step 6: Final answer
   x = 715,472.48