Finding the Third Proportional to 45,492 and 99,984

Step by Step Solution

1. Step 1: Write the proportion equation
   45,492 : 99,984 = 99,984 : x
2. Step 2: Convert to fraction form
   45,492/99,984 = 99,984/x
3. Step 3: Cross multiply
   45,492x = 99,984 × 99,984
4. Step 4: Simplify right side
   45,492x = 9,996,800,256
5. Step 5: Solve for x
   x = 9,996,800,256/45,492
6. Step 6: Final answer
   x = 219,748.53