Finding the Third Proportional to 103,641 and 160,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,641 : 160,042.50 = 160,042.50 : x
2. Step 2: Convert to fraction form
   103,641/160,042.50 = 160,042.50/x
3. Step 3: Cross multiply
   103,641x = 160,042.50 × 160,042.50
4. Step 4: Simplify right side
   103,641x = 25,613,601,806.25
5. Step 5: Solve for x
   x = 25,613,601,806.25/103,641
6. Step 6: Final answer
   x = 247,137.73