Finding the Third Proportional to 83,234.50 and 183,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,234.50 : 183,434.50 = 183,434.50 : x
2. Step 2: Convert to fraction form
   83,234.50/183,434.50 = 183,434.50/x
3. Step 3: Cross multiply
   83,234.50x = 183,434.50 × 183,434.50
4. Step 4: Simplify right side
   83,234.50x = 33,648,215,790.25
5. Step 5: Solve for x
   x = 33,648,215,790.25/83,234.50
6. Step 6: Final answer
   x = 404,258.04