Finding the Third Proportional to 175,636 and 414,142

Step by Step Solution

1. Step 1: Write the proportion equation
   175,636 : 414,142 = 414,142 : x
2. Step 2: Convert to fraction form
   175,636/414,142 = 414,142/x
3. Step 3: Cross multiply
   175,636x = 414,142 × 414,142
4. Step 4: Simplify right side
   175,636x = 171,513,596,164
5. Step 5: Solve for x
   x = 171,513,596,164/175,636
6. Step 6: Final answer
   x = 976,528.71