Finding the Third Proportional to 313,034 and 467,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,034 : 467,706.50 = 467,706.50 : x
2. Step 2: Convert to fraction form
   313,034/467,706.50 = 467,706.50/x
3. Step 3: Cross multiply
   313,034x = 467,706.50 × 467,706.50
4. Step 4: Simplify right side
   313,034x = 218,749,370,142.25
5. Step 5: Solve for x
   x = 218,749,370,142.25/313,034
6. Step 6: Final answer
   x = 698,803.87