Finding the Third Proportional to 386,982 and 557,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,982 : 557,401.50 = 557,401.50 : x
2. Step 2: Convert to fraction form
   386,982/557,401.50 = 557,401.50/x
3. Step 3: Cross multiply
   386,982x = 557,401.50 × 557,401.50
4. Step 4: Simplify right side
   386,982x = 310,696,432,202.25
5. Step 5: Solve for x
   x = 310,696,432,202.25/386,982
6. Step 6: Final answer
   x = 802,870.50