Finding the Third Proportional to 182,322 and 279,870

Step by Step Solution

1. Step 1: Write the proportion equation
   182,322 : 279,870 = 279,870 : x
2. Step 2: Convert to fraction form
   182,322/279,870 = 279,870/x
3. Step 3: Cross multiply
   182,322x = 279,870 × 279,870
4. Step 4: Simplify right side
   182,322x = 78,327,216,900
5. Step 5: Solve for x
   x = 78,327,216,900/182,322
6. Step 6: Final answer
   x = 429,609.25