Finding the Third Proportional to 524,973 and 814,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   524,973 : 814,432.50 = 814,432.50 : x
2. Step 2: Convert to fraction form
   524,973/814,432.50 = 814,432.50/x
3. Step 3: Cross multiply
   524,973x = 814,432.50 × 814,432.50
4. Step 4: Simplify right side
   524,973x = 663,300,297,056.25
5. Step 5: Solve for x
   x = 663,300,297,056.25/524,973
6. Step 6: Final answer
   x = 1,263,494.12