Finding the Third Proportional to 122,172 and 188,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,172 : 188,785.50 = 188,785.50 : x
2. Step 2: Convert to fraction form
   122,172/188,785.50 = 188,785.50/x
3. Step 3: Cross multiply
   122,172x = 188,785.50 × 188,785.50
4. Step 4: Simplify right side
   122,172x = 35,639,965,010.25
5. Step 5: Solve for x
   x = 35,639,965,010.25/122,172
6. Step 6: Final answer
   x = 291,719.58