Finding the Third Proportional to 202,676 and 469,146

Step by Step Solution

1. Step 1: Write the proportion equation
   202,676 : 469,146 = 469,146 : x
2. Step 2: Convert to fraction form
   202,676/469,146 = 469,146/x
3. Step 3: Cross multiply
   202,676x = 469,146 × 469,146
4. Step 4: Simplify right side
   202,676x = 220,097,969,316
5. Step 5: Solve for x
   x = 220,097,969,316/202,676
6. Step 6: Final answer
   x = 1,085,959.71