Finding the Third Proportional to 359,982 and 771,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,982 : 771,196.50 = 771,196.50 : x
2. Step 2: Convert to fraction form
   359,982/771,196.50 = 771,196.50/x
3. Step 3: Cross multiply
   359,982x = 771,196.50 × 771,196.50
4. Step 4: Simplify right side
   359,982x = 594,744,041,612.25
5. Step 5: Solve for x
   x = 594,744,041,612.25/359,982
6. Step 6: Final answer
   x = 1,652,149.39