Finding the Third Proportional to 85,010 and 186,178

Step by Step Solution

1. Step 1: Write the proportion equation
   85,010 : 186,178 = 186,178 : x
2. Step 2: Convert to fraction form
   85,010/186,178 = 186,178/x
3. Step 3: Cross multiply
   85,010x = 186,178 × 186,178
4. Step 4: Simplify right side
   85,010x = 34,662,247,684
5. Step 5: Solve for x
   x = 34,662,247,684/85,010
6. Step 6: Final answer
   x = 407,743.18