Finding the Third Proportional to 199,506 and 427,036

Step by Step Solution

1. Step 1: Write the proportion equation
   199,506 : 427,036 = 427,036 : x
2. Step 2: Convert to fraction form
   199,506/427,036 = 427,036/x
3. Step 3: Cross multiply
   199,506x = 427,036 × 427,036
4. Step 4: Simplify right side
   199,506x = 182,359,745,296
5. Step 5: Solve for x
   x = 182,359,745,296/199,506
6. Step 6: Final answer
   x = 914,056.45