Finding the Third Proportional to 309,256 and 466,956

Step by Step Solution

1. Step 1: Write the proportion equation
   309,256 : 466,956 = 466,956 : x
2. Step 2: Convert to fraction form
   309,256/466,956 = 466,956/x
3. Step 3: Cross multiply
   309,256x = 466,956 × 466,956
4. Step 4: Simplify right side
   309,256x = 218,047,905,936
5. Step 5: Solve for x
   x = 218,047,905,936/309,256
6. Step 6: Final answer
   x = 705,072.52