Finding the Third Proportional to 40,767 and 89,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,767 : 89,005.50 = 89,005.50 : x
2. Step 2: Convert to fraction form
   40,767/89,005.50 = 89,005.50/x
3. Step 3: Cross multiply
   40,767x = 89,005.50 × 89,005.50
4. Step 4: Simplify right side
   40,767x = 7,921,979,030.25
5. Step 5: Solve for x
   x = 7,921,979,030.25/40,767
6. Step 6: Final answer
   x = 194,323.33