Finding the Third Proportional to 79,999.50 and 185,205

Step by Step Solution

1. Step 1: Write the proportion equation
   79,999.50 : 185,205 = 185,205 : x
2. Step 2: Convert to fraction form
   79,999.50/185,205 = 185,205/x
3. Step 3: Cross multiply
   79,999.50x = 185,205 × 185,205
4. Step 4: Simplify right side
   79,999.50x = 34,300,892,025
5. Step 5: Solve for x
   x = 34,300,892,025/79,999.50
6. Step 6: Final answer
   x = 428,763.83