Finding the Third Proportional to 47,352 and 100,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,352 : 100,543.50 = 100,543.50 : x
2. Step 2: Convert to fraction form
   47,352/100,543.50 = 100,543.50/x
3. Step 3: Cross multiply
   47,352x = 100,543.50 × 100,543.50
4. Step 4: Simplify right side
   47,352x = 10,108,995,392.25
5. Step 5: Solve for x
   x = 10,108,995,392.25/47,352
6. Step 6: Final answer
   x = 213,486.13