Finding the Third Proportional to 210,008 and 493,646

Step by Step Solution

1. Step 1: Write the proportion equation
   210,008 : 493,646 = 493,646 : x
2. Step 2: Convert to fraction form
   210,008/493,646 = 493,646/x
3. Step 3: Cross multiply
   210,008x = 493,646 × 493,646
4. Step 4: Simplify right side
   210,008x = 243,686,373,316
5. Step 5: Solve for x
   x = 243,686,373,316/210,008
6. Step 6: Final answer
   x = 1,160,367.10