Finding the Third Proportional to 175,906 and 414,820

Step by Step Solution

1. Step 1: Write the proportion equation
   175,906 : 414,820 = 414,820 : x
2. Step 2: Convert to fraction form
   175,906/414,820 = 414,820/x
3. Step 3: Cross multiply
   175,906x = 414,820 × 414,820
4. Step 4: Simplify right side
   175,906x = 172,075,632,400
5. Step 5: Solve for x
   x = 172,075,632,400/175,906
6. Step 6: Final answer
   x = 978,224.92