Finding the Third Proportional to 295,005 and 442,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,005 : 442,795.50 = 442,795.50 : x
2. Step 2: Convert to fraction form
   295,005/442,795.50 = 442,795.50/x
3. Step 3: Cross multiply
   295,005x = 442,795.50 × 442,795.50
4. Step 4: Simplify right side
   295,005x = 196,067,854,820.25
5. Step 5: Solve for x
   x = 196,067,854,820.25/295,005
6. Step 6: Final answer
   x = 664,625.53