Finding the Third Proportional to 46,106.50 and 100,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,106.50 : 100,591.50 = 100,591.50 : x
2. Step 2: Convert to fraction form
   46,106.50/100,591.50 = 100,591.50/x
3. Step 3: Cross multiply
   46,106.50x = 100,591.50 × 100,591.50
4. Step 4: Simplify right side
   46,106.50x = 10,118,649,872.25
5. Step 5: Solve for x
   x = 10,118,649,872.25/46,106.50
6. Step 6: Final answer
   x = 219,462.55