Finding the Third Proportional to 316,095 and 472,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,095 : 472,270.50 = 472,270.50 : x
2. Step 2: Convert to fraction form
   316,095/472,270.50 = 472,270.50/x
3. Step 3: Cross multiply
   316,095x = 472,270.50 × 472,270.50
4. Step 4: Simplify right side
   316,095x = 223,039,425,170.25
5. Step 5: Solve for x
   x = 223,039,425,170.25/316,095
6. Step 6: Final answer
   x = 705,608.84