Finding the Third Proportional to 386,964 and 586,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,964 : 586,288.50 = 586,288.50 : x
2. Step 2: Convert to fraction form
   386,964/586,288.50 = 586,288.50/x
3. Step 3: Cross multiply
   386,964x = 586,288.50 × 586,288.50
4. Step 4: Simplify right side
   386,964x = 343,734,205,232.25
5. Step 5: Solve for x
   x = 343,734,205,232.25/386,964
6. Step 6: Final answer
   x = 888,284.71