Finding the Third Proportional to 43,413 and 88,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,413 : 88,033.50 = 88,033.50 : x
2. Step 2: Convert to fraction form
   43,413/88,033.50 = 88,033.50/x
3. Step 3: Cross multiply
   43,413x = 88,033.50 × 88,033.50
4. Step 4: Simplify right side
   43,413x = 7,749,897,122.25
5. Step 5: Solve for x
   x = 7,749,897,122.25/43,413
6. Step 6: Final answer
   x = 178,515.59