Finding the Third Proportional to 214,668 and 423,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,668 : 423,922.50 = 423,922.50 : x
2. Step 2: Convert to fraction form
   214,668/423,922.50 = 423,922.50/x
3. Step 3: Cross multiply
   214,668x = 423,922.50 × 423,922.50
4. Step 4: Simplify right side
   214,668x = 179,710,286,006.25
5. Step 5: Solve for x
   x = 179,710,286,006.25/214,668
6. Step 6: Final answer
   x = 837,154.52