Finding the Third Proportional to 56,205 and 120,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,205 : 120,403.50 = 120,403.50 : x
2. Step 2: Convert to fraction form
   56,205/120,403.50 = 120,403.50/x
3. Step 3: Cross multiply
   56,205x = 120,403.50 × 120,403.50
4. Step 4: Simplify right side
   56,205x = 14,497,002,812.25
5. Step 5: Solve for x
   x = 14,497,002,812.25/56,205
6. Step 6: Final answer
   x = 257,930.84