Finding the Third Proportional to 178,506 and 262,818

Step by Step Solution

1. Step 1: Write the proportion equation
   178,506 : 262,818 = 262,818 : x
2. Step 2: Convert to fraction form
   178,506/262,818 = 262,818/x
3. Step 3: Cross multiply
   178,506x = 262,818 × 262,818
4. Step 4: Simplify right side
   178,506x = 69,073,301,124
5. Step 5: Solve for x
   x = 69,073,301,124/178,506
6. Step 6: Final answer
   x = 386,952.27