Finding the Third Proportional to 86,432 and 185,984

Step by Step Solution

1. Step 1: Write the proportion equation
   86,432 : 185,984 = 185,984 : x
2. Step 2: Convert to fraction form
   86,432/185,984 = 185,984/x
3. Step 3: Cross multiply
   86,432x = 185,984 × 185,984
4. Step 4: Simplify right side
   86,432x = 34,590,048,256
5. Step 5: Solve for x
   x = 34,590,048,256/86,432
6. Step 6: Final answer
   x = 400,199.56