Finding the Third Proportional to 87,116 and 188,984

Step by Step Solution

1. Step 1: Write the proportion equation
   87,116 : 188,984 = 188,984 : x
2. Step 2: Convert to fraction form
   87,116/188,984 = 188,984/x
3. Step 3: Cross multiply
   87,116x = 188,984 × 188,984
4. Step 4: Simplify right side
   87,116x = 35,714,952,256
5. Step 5: Solve for x
   x = 35,714,952,256/87,116
6. Step 6: Final answer
   x = 409,970.07