Finding the Third Proportional to 83,925 and 186,498

Step by Step Solution

1. Step 1: Write the proportion equation
   83,925 : 186,498 = 186,498 : x
2. Step 2: Convert to fraction form
   83,925/186,498 = 186,498/x
3. Step 3: Cross multiply
   83,925x = 186,498 × 186,498
4. Step 4: Simplify right side
   83,925x = 34,781,504,004
5. Step 5: Solve for x
   x = 34,781,504,004/83,925
6. Step 6: Final answer
   x = 414,435.56