Finding the Third Proportional to 89,815 and 149,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,815 : 149,683.50 = 149,683.50 : x
2. Step 2: Convert to fraction form
   89,815/149,683.50 = 149,683.50/x
3. Step 3: Cross multiply
   89,815x = 149,683.50 × 149,683.50
4. Step 4: Simplify right side
   89,815x = 22,405,150,172.25
5. Step 5: Solve for x
   x = 22,405,150,172.25/89,815
6. Step 6: Final answer
   x = 249,458.89