Finding the Third Proportional to 204,117 and 443,178

Step by Step Solution

1. Step 1: Write the proportion equation
   204,117 : 443,178 = 443,178 : x
2. Step 2: Convert to fraction form
   204,117/443,178 = 443,178/x
3. Step 3: Cross multiply
   204,117x = 443,178 × 443,178
4. Step 4: Simplify right side
   204,117x = 196,406,739,684
5. Step 5: Solve for x
   x = 196,406,739,684/204,117
6. Step 6: Final answer
   x = 962,226.27