Finding the Third Proportional to 92,656 and 188,584

Step by Step Solution

1. Step 1: Write the proportion equation
   92,656 : 188,584 = 188,584 : x
2. Step 2: Convert to fraction form
   92,656/188,584 = 188,584/x
3. Step 3: Cross multiply
   92,656x = 188,584 × 188,584
4. Step 4: Simplify right side
   92,656x = 35,563,925,056
5. Step 5: Solve for x
   x = 35,563,925,056/92,656
6. Step 6: Final answer
   x = 383,827.55