Finding the Third Proportional to 89,640 and 133,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,640 : 133,933.50 = 133,933.50 : x
2. Step 2: Convert to fraction form
   89,640/133,933.50 = 133,933.50/x
3. Step 3: Cross multiply
   89,640x = 133,933.50 × 133,933.50
4. Step 4: Simplify right side
   89,640x = 17,938,182,422.25
5. Step 5: Solve for x
   x = 17,938,182,422.25/89,640
6. Step 6: Final answer
   x = 200,113.59