Finding the Third Proportional to 154,824 and 358,404

Step by Step Solution

1. Step 1: Write the proportion equation
   154,824 : 358,404 = 358,404 : x
2. Step 2: Convert to fraction form
   154,824/358,404 = 358,404/x
3. Step 3: Cross multiply
   154,824x = 358,404 × 358,404
4. Step 4: Simplify right side
   154,824x = 128,453,427,216
5. Step 5: Solve for x
   x = 128,453,427,216/154,824
6. Step 6: Final answer
   x = 829,673.87