Finding the Third Proportional to 507,166 and 784,896

Step by Step Solution

1. Step 1: Write the proportion equation
   507,166 : 784,896 = 784,896 : x
2. Step 2: Convert to fraction form
   507,166/784,896 = 784,896/x
3. Step 3: Cross multiply
   507,166x = 784,896 × 784,896
4. Step 4: Simplify right side
   507,166x = 616,061,730,816
5. Step 5: Solve for x
   x = 616,061,730,816/507,166
6. Step 6: Final answer
   x = 1,214,714.18