Finding the Third Proportional to 176,421 and 416,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,421 : 416,401.50 = 416,401.50 : x
2. Step 2: Convert to fraction form
   176,421/416,401.50 = 416,401.50/x
3. Step 3: Cross multiply
   176,421x = 416,401.50 × 416,401.50
4. Step 4: Simplify right side
   176,421x = 173,390,209,202.25
5. Step 5: Solve for x
   x = 173,390,209,202.25/176,421
6. Step 6: Final answer
   x = 982,820.69