Finding the Third Proportional to 202,527 and 443,178

Step by Step Solution

1. Step 1: Write the proportion equation
   202,527 : 443,178 = 443,178 : x
2. Step 2: Convert to fraction form
   202,527/443,178 = 443,178/x
3. Step 3: Cross multiply
   202,527x = 443,178 × 443,178
4. Step 4: Simplify right side
   202,527x = 196,406,739,684
5. Step 5: Solve for x
   x = 196,406,739,684/202,527
6. Step 6: Final answer
   x = 969,780.52