Finding the Third Proportional to 210,723.75 and 314,838

Step by Step Solution

1. Step 1: Write the proportion equation
   210,723.75 : 314,838 = 314,838 : x
2. Step 2: Convert to fraction form
   210,723.75/314,838 = 314,838/x
3. Step 3: Cross multiply
   210,723.75x = 314,838 × 314,838
4. Step 4: Simplify right side
   210,723.75x = 99,122,966,244
5. Step 5: Solve for x
   x = 99,122,966,244/210,723.75
6. Step 6: Final answer
   x = 470,392.95