Finding the Third Proportional to 125,601 and 188,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,601 : 188,403.50 = 188,403.50 : x
2. Step 2: Convert to fraction form
   125,601/188,403.50 = 188,403.50/x
3. Step 3: Cross multiply
   125,601x = 188,403.50 × 188,403.50
4. Step 4: Simplify right side
   125,601x = 35,495,878,812.25
5. Step 5: Solve for x
   x = 35,495,878,812.25/125,601
6. Step 6: Final answer
   x = 282,608.25