Finding the Third Proportional to 414,291 and 907,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,291 : 907,627.50 = 907,627.50 : x
2. Step 2: Convert to fraction form
   414,291/907,627.50 = 907,627.50/x
3. Step 3: Cross multiply
   414,291x = 907,627.50 × 907,627.50
4. Step 4: Simplify right side
   414,291x = 823,787,678,756.25
5. Step 5: Solve for x
   x = 823,787,678,756.25/414,291
6. Step 6: Final answer
   x = 1,988,427.65