Finding the Third Proportional to 85,333.50 and 186,195

Step by Step Solution

1. Step 1: Write the proportion equation
   85,333.50 : 186,195 = 186,195 : x
2. Step 2: Convert to fraction form
   85,333.50/186,195 = 186,195/x
3. Step 3: Cross multiply
   85,333.50x = 186,195 × 186,195
4. Step 4: Simplify right side
   85,333.50x = 34,668,578,025
5. Step 5: Solve for x
   x = 34,668,578,025/85,333.50
6. Step 6: Final answer
   x = 406,271.61