Finding the Third Proportional to 214,357.50 and 470,754

Step by Step Solution

1. Step 1: Write the proportion equation
   214,357.50 : 470,754 = 470,754 : x
2. Step 2: Convert to fraction form
   214,357.50/470,754 = 470,754/x
3. Step 3: Cross multiply
   214,357.50x = 470,754 × 470,754
4. Step 4: Simplify right side
   214,357.50x = 221,609,328,516
5. Step 5: Solve for x
   x = 221,609,328,516/214,357.50
6. Step 6: Final answer
   x = 1,033,830.53