Finding the Third Proportional to 100,591 and 150,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,591 : 150,898.50 = 150,898.50 : x
2. Step 2: Convert to fraction form
   100,591/150,898.50 = 150,898.50/x
3. Step 3: Cross multiply
   100,591x = 150,898.50 × 150,898.50
4. Step 4: Simplify right side
   100,591x = 22,770,357,302.25
5. Step 5: Solve for x
   x = 22,770,357,302.25/100,591
6. Step 6: Final answer
   x = 226,365.75