Finding the Third Proportional to 89,032 and 138,654

Step by Step Solution

1. Step 1: Write the proportion equation
   89,032 : 138,654 = 138,654 : x
2. Step 2: Convert to fraction form
   89,032/138,654 = 138,654/x
3. Step 3: Cross multiply
   89,032x = 138,654 × 138,654
4. Step 4: Simplify right side
   89,032x = 19,224,931,716
5. Step 5: Solve for x
   x = 19,224,931,716/89,032
6. Step 6: Final answer
   x = 215,932.83