Finding the Third Proportional to 214,857 and 472,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,857 : 472,603.50 = 472,603.50 : x
2. Step 2: Convert to fraction form
   214,857/472,603.50 = 472,603.50/x
3. Step 3: Cross multiply
   214,857x = 472,603.50 × 472,603.50
4. Step 4: Simplify right side
   214,857x = 223,354,068,212.25
5. Step 5: Solve for x
   x = 223,354,068,212.25/214,857
6. Step 6: Final answer
   x = 1,039,547.55