Finding the Third Proportional to 83,028 and 183,500

Step by Step Solution

1. Step 1: Write the proportion equation
   83,028 : 183,500 = 183,500 : x
2. Step 2: Convert to fraction form
   83,028/183,500 = 183,500/x
3. Step 3: Cross multiply
   83,028x = 183,500 × 183,500
4. Step 4: Simplify right side
   83,028x = 33,672,250,000
5. Step 5: Solve for x
   x = 33,672,250,000/83,028
6. Step 6: Final answer
   x = 405,552.95