Finding the Third Proportional to 194,819 and 264,004

Step by Step Solution

1. Step 1: Write the proportion equation
   194,819 : 264,004 = 264,004 : x
2. Step 2: Convert to fraction form
   194,819/264,004 = 264,004/x
3. Step 3: Cross multiply
   194,819x = 264,004 × 264,004
4. Step 4: Simplify right side
   194,819x = 69,698,112,016
5. Step 5: Solve for x
   x = 69,698,112,016/194,819
6. Step 6: Final answer
   x = 357,758.29