Finding the Third Proportional to 89,305 and 138,156

Step by Step Solution

1. Step 1: Write the proportion equation
   89,305 : 138,156 = 138,156 : x
2. Step 2: Convert to fraction form
   89,305/138,156 = 138,156/x
3. Step 3: Cross multiply
   89,305x = 138,156 × 138,156
4. Step 4: Simplify right side
   89,305x = 19,087,080,336
5. Step 5: Solve for x
   x = 19,087,080,336/89,305
6. Step 6: Final answer
   x = 213,729.13