Finding the Third Proportional to 414,498 and 633,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,498 : 633,775.50 = 633,775.50 : x
2. Step 2: Convert to fraction form
   414,498/633,775.50 = 633,775.50/x
3. Step 3: Cross multiply
   414,498x = 633,775.50 × 633,775.50
4. Step 4: Simplify right side
   414,498x = 401,671,384,400.25
5. Step 5: Solve for x
   x = 401,671,384,400.25/414,498
6. Step 6: Final answer
   x = 969,055.06