Finding the Third Proportional to 83,676 and 183,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,676 : 183,937.50 = 183,937.50 : x
2. Step 2: Convert to fraction form
   83,676/183,937.50 = 183,937.50/x
3. Step 3: Cross multiply
   83,676x = 183,937.50 × 183,937.50
4. Step 4: Simplify right side
   83,676x = 33,833,003,906.25
5. Step 5: Solve for x
   x = 33,833,003,906.25/83,676
6. Step 6: Final answer
   x = 404,333.43