Finding the Third Proportional to 90,887 and 186,297

Step by Step Solution

1. Step 1: Write the proportion equation
   90,887 : 186,297 = 186,297 : x
2. Step 2: Convert to fraction form
   90,887/186,297 = 186,297/x
3. Step 3: Cross multiply
   90,887x = 186,297 × 186,297
4. Step 4: Simplify right side
   90,887x = 34,706,572,209
5. Step 5: Solve for x
   x = 34,706,572,209/90,887
6. Step 6: Final answer
   x = 381,865.09