Finding the Third Proportional to 113,670 and 177,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,670 : 177,922.50 = 177,922.50 : x
2. Step 2: Convert to fraction form
   113,670/177,922.50 = 177,922.50/x
3. Step 3: Cross multiply
   113,670x = 177,922.50 × 177,922.50
4. Step 4: Simplify right side
   113,670x = 31,656,416,006.25
5. Step 5: Solve for x
   x = 31,656,416,006.25/113,670
6. Step 6: Final answer
   x = 278,494.03