Finding the Third Proportional to 46,101 and 100,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,101 : 100,543.50 = 100,543.50 : x
2. Step 2: Convert to fraction form
   46,101/100,543.50 = 100,543.50/x
3. Step 3: Cross multiply
   46,101x = 100,543.50 × 100,543.50
4. Step 4: Simplify right side
   46,101x = 10,108,995,392.25
5. Step 5: Solve for x
   x = 10,108,995,392.25/46,101
6. Step 6: Final answer
   x = 219,279.31