Finding the Third Proportional to 83,323.50 and 183,324

Step by Step Solution

1. Step 1: Write the proportion equation
   83,323.50 : 183,324 = 183,324 : x
2. Step 2: Convert to fraction form
   83,323.50/183,324 = 183,324/x
3. Step 3: Cross multiply
   83,323.50x = 183,324 × 183,324
4. Step 4: Simplify right side
   83,323.50x = 33,607,688,976
5. Step 5: Solve for x
   x = 33,607,688,976/83,323.50
6. Step 6: Final answer
   x = 403,339.86