Finding the Third Proportional to 194,538 and 423,162

Step by Step Solution

1. Step 1: Write the proportion equation
   194,538 : 423,162 = 423,162 : x
2. Step 2: Convert to fraction form
   194,538/423,162 = 423,162/x
3. Step 3: Cross multiply
   194,538x = 423,162 × 423,162
4. Step 4: Simplify right side
   194,538x = 179,066,078,244
5. Step 5: Solve for x
   x = 179,066,078,244/194,538
6. Step 6: Final answer
   x = 920,468.38