Finding the Third Proportional to 412,920 and 611,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,920 : 611,704.50 = 611,704.50 : x
2. Step 2: Convert to fraction form
   412,920/611,704.50 = 611,704.50/x
3. Step 3: Cross multiply
   412,920x = 611,704.50 × 611,704.50
4. Step 4: Simplify right side
   412,920x = 374,182,395,320.25
5. Step 5: Solve for x
   x = 374,182,395,320.25/412,920
6. Step 6: Final answer
   x = 906,186.17