Finding the Third Proportional to 85,855.50 and 186,003

Step by Step Solution

1. Step 1: Write the proportion equation
   85,855.50 : 186,003 = 186,003 : x
2. Step 2: Convert to fraction form
   85,855.50/186,003 = 186,003/x
3. Step 3: Cross multiply
   85,855.50x = 186,003 × 186,003
4. Step 4: Simplify right side
   85,855.50x = 34,597,116,009
5. Step 5: Solve for x
   x = 34,597,116,009/85,855.50
6. Step 6: Final answer
   x = 402,969.13