Finding the Third Proportional to 185,008 and 401,120

Step by Step Solution

1. Step 1: Write the proportion equation
   185,008 : 401,120 = 401,120 : x
2. Step 2: Convert to fraction form
   185,008/401,120 = 401,120/x
3. Step 3: Cross multiply
   185,008x = 401,120 × 401,120
4. Step 4: Simplify right side
   185,008x = 160,897,254,400
5. Step 5: Solve for x
   x = 160,897,254,400/185,008
6. Step 6: Final answer
   x = 869,677.28