Finding the Third Proportional to 46,543.50 and 100,468.69

Step by Step Solution

1. Step 1: Write the proportion equation
   46,543.50 : 100,468.69 = 100,468.69 : x
2. Step 2: Convert to fraction form
   46,543.50/100,468.69 = 100,468.69/x
3. Step 3: Cross multiply
   46,543.50x = 100,468.69 × 100,468.69
4. Step 4: Simplify right side
   46,543.50x = 10,093,957,167.97
5. Step 5: Solve for x
   x = 10,093,957,167.97/46,543.50
6. Step 6: Final answer
   x = 216,871.47