Finding the Third Proportional to 85,043 and 186,215

Step by Step Solution

1. Step 1: Write the proportion equation
   85,043 : 186,215 = 186,215 : x
2. Step 2: Convert to fraction form
   85,043/186,215 = 186,215/x
3. Step 3: Cross multiply
   85,043x = 186,215 × 186,215
4. Step 4: Simplify right side
   85,043x = 34,676,026,225
5. Step 5: Solve for x
   x = 34,676,026,225/85,043
6. Step 6: Final answer
   x = 407,746.98