Finding the Third Proportional to 56,144 and 120,784

Step by Step Solution

1. Step 1: Write the proportion equation
   56,144 : 120,784 = 120,784 : x
2. Step 2: Convert to fraction form
   56,144/120,784 = 120,784/x
3. Step 3: Cross multiply
   56,144x = 120,784 × 120,784
4. Step 4: Simplify right side
   56,144x = 14,588,774,656
5. Step 5: Solve for x
   x = 14,588,774,656/56,144
6. Step 6: Final answer
   x = 259,845.66