Finding the Third Proportional to 90,902 and 186,315

Step by Step Solution

1. Step 1: Write the proportion equation
   90,902 : 186,315 = 186,315 : x
2. Step 2: Convert to fraction form
   90,902/186,315 = 186,315/x
3. Step 3: Cross multiply
   90,902x = 186,315 × 186,315
4. Step 4: Simplify right side
   90,902x = 34,713,279,225
5. Step 5: Solve for x
   x = 34,713,279,225/90,902
6. Step 6: Final answer
   x = 381,875.86