Finding the Third Proportional to 214,448 and 465,184

Step by Step Solution

1. Step 1: Write the proportion equation
   214,448 : 465,184 = 465,184 : x
2. Step 2: Convert to fraction form
   214,448/465,184 = 465,184/x
3. Step 3: Cross multiply
   214,448x = 465,184 × 465,184
4. Step 4: Simplify right side
   214,448x = 216,396,153,856
5. Step 5: Solve for x
   x = 216,396,153,856/214,448
6. Step 6: Final answer
   x = 1,009,084.50