Finding the Third Proportional to 182,550 and 401,064

Step by Step Solution

1. Step 1: Write the proportion equation
   182,550 : 401,064 = 401,064 : x
2. Step 2: Convert to fraction form
   182,550/401,064 = 401,064/x
3. Step 3: Cross multiply
   182,550x = 401,064 × 401,064
4. Step 4: Simplify right side
   182,550x = 160,852,332,096
5. Step 5: Solve for x
   x = 160,852,332,096/182,550
6. Step 6: Final answer
   x = 881,141.23