Finding the Third Proportional to 507,160 and 784,886

Step by Step Solution

1. Step 1: Write the proportion equation
   507,160 : 784,886 = 784,886 : x
2. Step 2: Convert to fraction form
   507,160/784,886 = 784,886/x
3. Step 3: Cross multiply
   507,160x = 784,886 × 784,886
4. Step 4: Simplify right side
   507,160x = 616,046,032,996
5. Step 5: Solve for x
   x = 616,046,032,996/507,160
6. Step 6: Final answer
   x = 1,214,697.60