Finding the Third Proportional to 89,813 and 138,464

Step by Step Solution

1. Step 1: Write the proportion equation
   89,813 : 138,464 = 138,464 : x
2. Step 2: Convert to fraction form
   89,813/138,464 = 138,464/x
3. Step 3: Cross multiply
   89,813x = 138,464 × 138,464
4. Step 4: Simplify right side
   89,813x = 19,172,279,296
5. Step 5: Solve for x
   x = 19,172,279,296/89,813
6. Step 6: Final answer
   x = 213,468.87