Finding the Third Proportional to 89,622 and 138,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,622 : 138,766.50 = 138,766.50 : x
2. Step 2: Convert to fraction form
   89,622/138,766.50 = 138,766.50/x
3. Step 3: Cross multiply
   89,622x = 138,766.50 × 138,766.50
4. Step 4: Simplify right side
   89,622x = 19,256,141,522.25
5. Step 5: Solve for x
   x = 19,256,141,522.25/89,622
6. Step 6: Final answer
   x = 214,859.54