Finding the Third Proportional to 89,136 and 118,320

Step by Step Solution

1. Step 1: Write the proportion equation
   89,136 : 118,320 = 118,320 : x
2. Step 2: Convert to fraction form
   89,136/118,320 = 118,320/x
3. Step 3: Cross multiply
   89,136x = 118,320 × 118,320
4. Step 4: Simplify right side
   89,136x = 13,999,622,400
5. Step 5: Solve for x
   x = 13,999,622,400/89,136
6. Step 6: Final answer
   x = 157,059.13