Finding the Third Proportional to 113,742 and 178,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,742 : 178,411.50 = 178,411.50 : x
2. Step 2: Convert to fraction form
   113,742/178,411.50 = 178,411.50/x
3. Step 3: Cross multiply
   113,742x = 178,411.50 × 178,411.50
4. Step 4: Simplify right side
   113,742x = 31,830,663,332.25
5. Step 5: Solve for x
   x = 31,830,663,332.25/113,742
6. Step 6: Final answer
   x = 279,849.69