Finding the Third Proportional to 303,496 and 437,166

Step by Step Solution

1. Step 1: Write the proportion equation
   303,496 : 437,166 = 437,166 : x
2. Step 2: Convert to fraction form
   303,496/437,166 = 437,166/x
3. Step 3: Cross multiply
   303,496x = 437,166 × 437,166
4. Step 4: Simplify right side
   303,496x = 191,114,111,556
5. Step 5: Solve for x
   x = 191,114,111,556/303,496
6. Step 6: Final answer
   x = 629,708.83