Finding the Third Proportional to 184,314 and 401,406

Step by Step Solution

1. Step 1: Write the proportion equation
   184,314 : 401,406 = 401,406 : x
2. Step 2: Convert to fraction form
   184,314/401,406 = 401,406/x
3. Step 3: Cross multiply
   184,314x = 401,406 × 401,406
4. Step 4: Simplify right side
   184,314x = 161,126,776,836
5. Step 5: Solve for x
   x = 161,126,776,836/184,314
6. Step 6: Final answer
   x = 874,197.17