Finding the Third Proportional to 85,333.50 and 183,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,333.50 : 183,546.50 = 183,546.50 : x
2. Step 2: Convert to fraction form
   85,333.50/183,546.50 = 183,546.50/x
3. Step 3: Cross multiply
   85,333.50x = 183,546.50 × 183,546.50
4. Step 4: Simplify right side
   85,333.50x = 33,689,317,662.25
5. Step 5: Solve for x
   x = 33,689,317,662.25/85,333.50
6. Step 6: Final answer
   x = 394,795.92