Finding the Third Proportional to 122,974.50 and 188,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,974.50 : 188,030.50 = 188,030.50 : x
2. Step 2: Convert to fraction form
   122,974.50/188,030.50 = 188,030.50/x
3. Step 3: Cross multiply
   122,974.50x = 188,030.50 × 188,030.50
4. Step 4: Simplify right side
   122,974.50x = 35,355,468,930.25
5. Step 5: Solve for x
   x = 35,355,468,930.25/122,974.50
6. Step 6: Final answer
   x = 287,502.44