Finding the Third Proportional to 125,093.25 and 188,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,093.25 : 188,722.50 = 188,722.50 : x
2. Step 2: Convert to fraction form
   125,093.25/188,722.50 = 188,722.50/x
3. Step 3: Cross multiply
   125,093.25x = 188,722.50 × 188,722.50
4. Step 4: Simplify right side
   125,093.25x = 35,616,182,006.25
5. Step 5: Solve for x
   x = 35,616,182,006.25/125,093.25
6. Step 6: Final answer
   x = 284,717.06