Finding the Third Proportional to 100,589 and 151,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,589 : 151,908.50 = 151,908.50 : x
2. Step 2: Convert to fraction form
   100,589/151,908.50 = 151,908.50/x
3. Step 3: Cross multiply
   100,589x = 151,908.50 × 151,908.50
4. Step 4: Simplify right side
   100,589x = 23,076,192,372.25
5. Step 5: Solve for x
   x = 23,076,192,372.25/100,589
6. Step 6: Final answer
   x = 229,410.69