Finding the Third Proportional to 89,553 and 188,322

Step by Step Solution

1. Step 1: Write the proportion equation
   89,553 : 188,322 = 188,322 : x
2. Step 2: Convert to fraction form
   89,553/188,322 = 188,322/x
3. Step 3: Cross multiply
   89,553x = 188,322 × 188,322
4. Step 4: Simplify right side
   89,553x = 35,465,175,684
5. Step 5: Solve for x
   x = 35,465,175,684/89,553
6. Step 6: Final answer
   x = 396,024.43