Finding the Third Proportional to 185,010 and 401,124

Step by Step Solution

1. Step 1: Write the proportion equation
   185,010 : 401,124 = 401,124 : x
2. Step 2: Convert to fraction form
   185,010/401,124 = 401,124/x
3. Step 3: Cross multiply
   185,010x = 401,124 × 401,124
4. Step 4: Simplify right side
   185,010x = 160,900,463,376
5. Step 5: Solve for x
   x = 160,900,463,376/185,010
6. Step 6: Final answer
   x = 869,685.22