Finding the Third Proportional to 254,322 and 384,764

Step by Step Solution

1. Step 1: Write the proportion equation
   254,322 : 384,764 = 384,764 : x
2. Step 2: Convert to fraction form
   254,322/384,764 = 384,764/x
3. Step 3: Cross multiply
   254,322x = 384,764 × 384,764
4. Step 4: Simplify right side
   254,322x = 148,043,335,696
5. Step 5: Solve for x
   x = 148,043,335,696/254,322
6. Step 6: Final answer
   x = 582,109.83