Finding the Third Proportional to 315,662 and 473,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,662 : 473,858.50 = 473,858.50 : x
2. Step 2: Convert to fraction form
   315,662/473,858.50 = 473,858.50/x
3. Step 3: Cross multiply
   315,662x = 473,858.50 × 473,858.50
4. Step 4: Simplify right side
   315,662x = 224,541,878,022.25
5. Step 5: Solve for x
   x = 224,541,878,022.25/315,662
6. Step 6: Final answer
   x = 711,336.42