Finding the Third Proportional to 87,762 and 185,984

Step by Step Solution

1. Step 1: Write the proportion equation
   87,762 : 185,984 = 185,984 : x
2. Step 2: Convert to fraction form
   87,762/185,984 = 185,984/x
3. Step 3: Cross multiply
   87,762x = 185,984 × 185,984
4. Step 4: Simplify right side
   87,762x = 34,590,048,256
5. Step 5: Solve for x
   x = 34,590,048,256/87,762
6. Step 6: Final answer
   x = 394,134.69