Finding the Third Proportional to 185,012 and 401,128

Step by Step Solution

1. Step 1: Write the proportion equation
   185,012 : 401,128 = 401,128 : x
2. Step 2: Convert to fraction form
   185,012/401,128 = 401,128/x
3. Step 3: Cross multiply
   185,012x = 401,128 × 401,128
4. Step 4: Simplify right side
   185,012x = 160,903,672,384
5. Step 5: Solve for x
   x = 160,903,672,384/185,012
6. Step 6: Final answer
   x = 869,693.17