Finding the Third Proportional to 125,622 and 188,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,622 : 188,698.50 = 188,698.50 : x
2. Step 2: Convert to fraction form
   125,622/188,698.50 = 188,698.50/x
3. Step 3: Cross multiply
   125,622x = 188,698.50 × 188,698.50
4. Step 4: Simplify right side
   125,622x = 35,607,123,902.25
5. Step 5: Solve for x
   x = 35,607,123,902.25/125,622
6. Step 6: Final answer
   x = 283,446.56