Finding the Third Proportional to 175,561 and 414,180

Step by Step Solution

1. Step 1: Write the proportion equation
   175,561 : 414,180 = 414,180 : x
2. Step 2: Convert to fraction form
   175,561/414,180 = 414,180/x
3. Step 3: Cross multiply
   175,561x = 414,180 × 414,180
4. Step 4: Simplify right side
   175,561x = 171,545,072,400
5. Step 5: Solve for x
   x = 171,545,072,400/175,561
6. Step 6: Final answer
   x = 977,125.17