Finding the Third Proportional to 316,096 and 472,271

Step by Step Solution

1. Step 1: Write the proportion equation
   316,096 : 472,271 = 472,271 : x
2. Step 2: Convert to fraction form
   316,096/472,271 = 472,271/x
3. Step 3: Cross multiply
   316,096x = 472,271 × 472,271
4. Step 4: Simplify right side
   316,096x = 223,039,897,441
5. Step 5: Solve for x
   x = 223,039,897,441/316,096
6. Step 6: Final answer
   x = 705,608.10