Finding the Third Proportional to 112,881 and 178,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,881 : 178,564.50 = 178,564.50 : x
2. Step 2: Convert to fraction form
   112,881/178,564.50 = 178,564.50/x
3. Step 3: Cross multiply
   112,881x = 178,564.50 × 178,564.50
4. Step 4: Simplify right side
   112,881x = 31,885,280,660.25
5. Step 5: Solve for x
   x = 31,885,280,660.25/112,881
6. Step 6: Final answer
   x = 282,468.09