Finding the Third Proportional to 113,745 and 178,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,745 : 178,416.50 = 178,416.50 : x
2. Step 2: Convert to fraction form
   113,745/178,416.50 = 178,416.50/x
3. Step 3: Cross multiply
   113,745x = 178,416.50 × 178,416.50
4. Step 4: Simplify right side
   113,745x = 31,832,447,472.25
5. Step 5: Solve for x
   x = 31,832,447,472.25/113,745
6. Step 6: Final answer
   x = 279,857.99