Finding the Third Proportional to 100,441 and 151,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,441 : 151,957.50 = 151,957.50 : x
2. Step 2: Convert to fraction form
   100,441/151,957.50 = 151,957.50/x
3. Step 3: Cross multiply
   100,441x = 151,957.50 × 151,957.50
4. Step 4: Simplify right side
   100,441x = 23,091,081,806.25
5. Step 5: Solve for x
   x = 23,091,081,806.25/100,441
6. Step 6: Final answer
   x = 229,896.97