Finding the Third Proportional to 89,272 and 138,316

Step by Step Solution

1. Step 1: Write the proportion equation
   89,272 : 138,316 = 138,316 : x
2. Step 2: Convert to fraction form
   89,272/138,316 = 138,316/x
3. Step 3: Cross multiply
   89,272x = 138,316 × 138,316
4. Step 4: Simplify right side
   89,272x = 19,131,315,856
5. Step 5: Solve for x
   x = 19,131,315,856/89,272
6. Step 6: Final answer
   x = 214,303.65