Finding the Third Proportional to 151,833 and 322,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,833 : 322,345.50 = 322,345.50 : x
2. Step 2: Convert to fraction form
   151,833/322,345.50 = 322,345.50/x
3. Step 3: Cross multiply
   151,833x = 322,345.50 × 322,345.50
4. Step 4: Simplify right side
   151,833x = 103,906,621,370.25
5. Step 5: Solve for x
   x = 103,906,621,370.25/151,833
6. Step 6: Final answer
   x = 684,348.08