Finding the Third Proportional to 43,200 and 91,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,200 : 91,543.50 = 91,543.50 : x
2. Step 2: Convert to fraction form
   43,200/91,543.50 = 91,543.50/x
3. Step 3: Cross multiply
   43,200x = 91,543.50 × 91,543.50
4. Step 4: Simplify right side
   43,200x = 8,380,212,392.25
5. Step 5: Solve for x
   x = 8,380,212,392.25/43,200
6. Step 6: Final answer
   x = 193,986.40