Finding the Third Proportional to 12,178 and 26,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,178 : 26,205.50 = 26,205.50 : x
2. Step 2: Convert to fraction form
   12,178/26,205.50 = 26,205.50/x
3. Step 3: Cross multiply
   12,178x = 26,205.50 × 26,205.50
4. Step 4: Simplify right side
   12,178x = 686,728,230.25
5. Step 5: Solve for x
   x = 686,728,230.25/12,178
6. Step 6: Final answer
   x = 56,390.89