Finding the Third Proportional to 83,238 and 183,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,238 : 183,442.50 = 183,442.50 : x
2. Step 2: Convert to fraction form
   83,238/183,442.50 = 183,442.50/x
3. Step 3: Cross multiply
   83,238x = 183,442.50 × 183,442.50
4. Step 4: Simplify right side
   83,238x = 33,651,150,806.25
5. Step 5: Solve for x
   x = 33,651,150,806.25/83,238
6. Step 6: Final answer
   x = 404,276.30