Finding the Third Proportional to 386,970 and 586,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,970 : 586,297.50 = 586,297.50 : x
2. Step 2: Convert to fraction form
   386,970/586,297.50 = 586,297.50/x
3. Step 3: Cross multiply
   386,970x = 586,297.50 × 586,297.50
4. Step 4: Simplify right side
   386,970x = 343,744,758,506.25
5. Step 5: Solve for x
   x = 343,744,758,506.25/386,970
6. Step 6: Final answer
   x = 888,298.21