Finding the Third Proportional to 92,664 and 188,606

Step by Step Solution

1. Step 1: Write the proportion equation
   92,664 : 188,606 = 188,606 : x
2. Step 2: Convert to fraction form
   92,664/188,606 = 188,606/x
3. Step 3: Cross multiply
   92,664x = 188,606 × 188,606
4. Step 4: Simplify right side
   92,664x = 35,572,223,236
5. Step 5: Solve for x
   x = 35,572,223,236/92,664
6. Step 6: Final answer
   x = 383,883.96