Finding the Third Proportional to 202,535 and 443,194

Step by Step Solution

1. Step 1: Write the proportion equation
   202,535 : 443,194 = 443,194 : x
2. Step 2: Convert to fraction form
   202,535/443,194 = 443,194/x
3. Step 3: Cross multiply
   202,535x = 443,194 × 443,194
4. Step 4: Simplify right side
   202,535x = 196,420,921,636
5. Step 5: Solve for x
   x = 196,420,921,636/202,535
6. Step 6: Final answer
   x = 969,812.24