Finding the Third Proportional to 66,541 and 103,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,541 : 103,315.50 = 103,315.50 : x
2. Step 2: Convert to fraction form
   66,541/103,315.50 = 103,315.50/x
3. Step 3: Cross multiply
   66,541x = 103,315.50 × 103,315.50
4. Step 4: Simplify right side
   66,541x = 10,674,092,540.25
5. Step 5: Solve for x
   x = 10,674,092,540.25/66,541
6. Step 6: Final answer
   x = 160,413.77