Finding the Third Proportional to 89,806 and 149,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,806 : 149,670.50 = 149,670.50 : x
2. Step 2: Convert to fraction form
   89,806/149,670.50 = 149,670.50/x
3. Step 3: Cross multiply
   89,806x = 149,670.50 × 149,670.50
4. Step 4: Simplify right side
   89,806x = 22,401,258,570.25
5. Step 5: Solve for x
   x = 22,401,258,570.25/89,806
6. Step 6: Final answer
   x = 249,440.56