Finding the Third Proportional to 214,389 and 423,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,389 : 423,356.50 = 423,356.50 : x
2. Step 2: Convert to fraction form
   214,389/423,356.50 = 423,356.50/x
3. Step 3: Cross multiply
   214,389x = 423,356.50 × 423,356.50
4. Step 4: Simplify right side
   214,389x = 179,230,726,092.25
5. Step 5: Solve for x
   x = 179,230,726,092.25/214,389
6. Step 6: Final answer
   x = 836,007.10