Finding the Third Proportional to 210,264 and 314,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,264 : 314,524.50 = 314,524.50 : x
2. Step 2: Convert to fraction form
   210,264/314,524.50 = 314,524.50/x
3. Step 3: Cross multiply
   210,264x = 314,524.50 × 314,524.50
4. Step 4: Simplify right side
   210,264x = 98,925,661,100.25
5. Step 5: Solve for x
   x = 98,925,661,100.25/210,264
6. Step 6: Final answer
   x = 470,483.11