Finding the Third Proportional to 213,307.50 and 460,824

Step by Step Solution

1. Step 1: Write the proportion equation
   213,307.50 : 460,824 = 460,824 : x
2. Step 2: Convert to fraction form
   213,307.50/460,824 = 460,824/x
3. Step 3: Cross multiply
   213,307.50x = 460,824 × 460,824
4. Step 4: Simplify right side
   213,307.50x = 212,358,758,976
5. Step 5: Solve for x
   x = 212,358,758,976/213,307.50
6. Step 6: Final answer
   x = 995,552.24