Finding the Third Proportional to 42,984 and 89,232

Step by Step Solution

1. Step 1: Write the proportion equation
   42,984 : 89,232 = 89,232 : x
2. Step 2: Convert to fraction form
   42,984/89,232 = 89,232/x
3. Step 3: Cross multiply
   42,984x = 89,232 × 89,232
4. Step 4: Simplify right side
   42,984x = 7,962,349,824
5. Step 5: Solve for x
   x = 7,962,349,824/42,984
6. Step 6: Final answer
   x = 185,239.85