Finding the Third Proportional to 83,323 and 181,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,323 : 181,887.50 = 181,887.50 : x
2. Step 2: Convert to fraction form
   83,323/181,887.50 = 181,887.50/x
3. Step 3: Cross multiply
   83,323x = 181,887.50 × 181,887.50
4. Step 4: Simplify right side
   83,323x = 33,083,062,656.25
5. Step 5: Solve for x
   x = 33,083,062,656.25/83,323
6. Step 6: Final answer
   x = 397,045.99