Finding the Third Proportional to 52,826 and 117,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,826 : 117,463.50 = 117,463.50 : x
2. Step 2: Convert to fraction form
   52,826/117,463.50 = 117,463.50/x
3. Step 3: Cross multiply
   52,826x = 117,463.50 × 117,463.50
4. Step 4: Simplify right side
   52,826x = 13,797,673,832.25
5. Step 5: Solve for x
   x = 13,797,673,832.25/52,826
6. Step 6: Final answer
   x = 261,190.96