Finding the Third Proportional to 89,407 and 186,161

Step by Step Solution

1. Step 1: Write the proportion equation
   89,407 : 186,161 = 186,161 : x
2. Step 2: Convert to fraction form
   89,407/186,161 = 186,161/x
3. Step 3: Cross multiply
   89,407x = 186,161 × 186,161
4. Step 4: Simplify right side
   89,407x = 34,655,917,921
5. Step 5: Solve for x
   x = 34,655,917,921/89,407
6. Step 6: Final answer
   x = 387,619.74