Finding the Third Proportional to 113,715 and 178,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,715 : 178,036.50 = 178,036.50 : x
2. Step 2: Convert to fraction form
   113,715/178,036.50 = 178,036.50/x
3. Step 3: Cross multiply
   113,715x = 178,036.50 × 178,036.50
4. Step 4: Simplify right side
   113,715x = 31,696,995,332.25
5. Step 5: Solve for x
   x = 31,696,995,332.25/113,715
6. Step 6: Final answer
   x = 278,740.67