Finding the Third Proportional to 194,046 and 424,158

Step by Step Solution

1. Step 1: Write the proportion equation
   194,046 : 424,158 = 424,158 : x
2. Step 2: Convert to fraction form
   194,046/424,158 = 424,158/x
3. Step 3: Cross multiply
   194,046x = 424,158 × 424,158
4. Step 4: Simplify right side
   194,046x = 179,910,008,964
5. Step 5: Solve for x
   x = 179,910,008,964/194,046
6. Step 6: Final answer
   x = 927,151.34