Finding the Third Proportional to 89,282 and 138,333

Step by Step Solution

1. Step 1: Write the proportion equation
   89,282 : 138,333 = 138,333 : x
2. Step 2: Convert to fraction form
   89,282/138,333 = 138,333/x
3. Step 3: Cross multiply
   89,282x = 138,333 × 138,333
4. Step 4: Simplify right side
   89,282x = 19,136,018,889
5. Step 5: Solve for x
   x = 19,136,018,889/89,282
6. Step 6: Final answer
   x = 214,332.33