Finding the Third Proportional to 295,506 and 443,151

Step by Step Solution

1. Step 1: Write the proportion equation
   295,506 : 443,151 = 443,151 : x
2. Step 2: Convert to fraction form
   295,506/443,151 = 443,151/x
3. Step 3: Cross multiply
   295,506x = 443,151 × 443,151
4. Step 4: Simplify right side
   295,506x = 196,382,808,801
5. Step 5: Solve for x
   x = 196,382,808,801/295,506
6. Step 6: Final answer
   x = 664,564.54