Finding the Third Proportional to 415,077.75 and 634,662

Step by Step Solution

1. Step 1: Write the proportion equation
   415,077.75 : 634,662 = 634,662 : x
2. Step 2: Convert to fraction form
   415,077.75/634,662 = 634,662/x
3. Step 3: Cross multiply
   415,077.75x = 634,662 × 634,662
4. Step 4: Simplify right side
   415,077.75x = 402,795,854,244
5. Step 5: Solve for x
   x = 402,795,854,244/415,077.75
6. Step 6: Final answer
   x = 970,410.61