Finding the Third Proportional to 102,906 and 158,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,906 : 158,459.50 = 158,459.50 : x
2. Step 2: Convert to fraction form
   102,906/158,459.50 = 158,459.50/x
3. Step 3: Cross multiply
   102,906x = 158,459.50 × 158,459.50
4. Step 4: Simplify right side
   102,906x = 25,109,413,140.25
5. Step 5: Solve for x
   x = 25,109,413,140.25/102,906
6. Step 6: Final answer
   x = 244,003.39