Finding the Third Proportional to 85,041 and 185,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,041 : 185,386.50 = 185,386.50 : x
2. Step 2: Convert to fraction form
   85,041/185,386.50 = 185,386.50/x
3. Step 3: Cross multiply
   85,041x = 185,386.50 × 185,386.50
4. Step 4: Simplify right side
   85,041x = 34,368,154,382.25
5. Step 5: Solve for x
   x = 34,368,154,382.25/85,041
6. Step 6: Final answer
   x = 404,136.29