Finding the Third Proportional to 194,645 and 404,964

Step by Step Solution

1. Step 1: Write the proportion equation
   194,645 : 404,964 = 404,964 : x
2. Step 2: Convert to fraction form
   194,645/404,964 = 404,964/x
3. Step 3: Cross multiply
   194,645x = 404,964 × 404,964
4. Step 4: Simplify right side
   194,645x = 163,995,841,296
5. Step 5: Solve for x
   x = 163,995,841,296/194,645
6. Step 6: Final answer
   x = 842,538.17