Finding the Third Proportional to 265,776 and 398,658

Step by Step Solution

1. Step 1: Write the proportion equation
   265,776 : 398,658 = 398,658 : x
2. Step 2: Convert to fraction form
   265,776/398,658 = 398,658/x
3. Step 3: Cross multiply
   265,776x = 398,658 × 398,658
4. Step 4: Simplify right side
   265,776x = 158,928,200,964
5. Step 5: Solve for x
   x = 158,928,200,964/265,776
6. Step 6: Final answer
   x = 597,978.00