Finding the Third Proportional to 175,932 and 414,902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,932 : 414,902.25 = 414,902.25 : x
2. Step 2: Convert to fraction form
   175,932/414,902.25 = 414,902.25/x
3. Step 3: Cross multiply
   175,932x = 414,902.25 × 414,902.25
4. Step 4: Simplify right side
   175,932x = 172,143,877,055.06
5. Step 5: Solve for x
   x = 172,143,877,055.06/175,932
6. Step 6: Final answer
   x = 978,468.26