Finding the Third Proportional to 89,776 and 139,200

Step by Step Solution

1. Step 1: Write the proportion equation
   89,776 : 139,200 = 139,200 : x
2. Step 2: Convert to fraction form
   89,776/139,200 = 139,200/x
3. Step 3: Cross multiply
   89,776x = 139,200 × 139,200
4. Step 4: Simplify right side
   89,776x = 19,376,640,000
5. Step 5: Solve for x
   x = 19,376,640,000/89,776
6. Step 6: Final answer
   x = 215,833.18