Finding the Third Proportional to 298,184 and 452,014

Step by Step Solution

1. Step 1: Write the proportion equation
   298,184 : 452,014 = 452,014 : x
2. Step 2: Convert to fraction form
   298,184/452,014 = 452,014/x
3. Step 3: Cross multiply
   298,184x = 452,014 × 452,014
4. Step 4: Simplify right side
   298,184x = 204,316,656,196
5. Step 5: Solve for x
   x = 204,316,656,196/298,184
6. Step 6: Final answer
   x = 685,203.28