Finding the Third Proportional to 214,080 and 470,532

Step by Step Solution

1. Step 1: Write the proportion equation
   214,080 : 470,532 = 470,532 : x
2. Step 2: Convert to fraction form
   214,080/470,532 = 470,532/x
3. Step 3: Cross multiply
   214,080x = 470,532 × 470,532
4. Step 4: Simplify right side
   214,080x = 221,400,363,024
5. Step 5: Solve for x
   x = 221,400,363,024/214,080
6. Step 6: Final answer
   x = 1,034,194.52