Finding the Third Proportional to 100,009.69 and 149,662.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100,009.69 : 149,662.69 = 149,662.69 : x
2. Step 2: Convert to fraction form
   100,009.69/149,662.69 = 149,662.69/x
3. Step 3: Cross multiply
   100,009.69x = 149,662.69 × 149,662.69
4. Step 4: Simplify right side
   100,009.69x = 22,398,920,029.72
5. Step 5: Solve for x
   x = 22,398,920,029.72/100,009.69
6. Step 6: Final answer
   x = 223,967.50