Finding the Third Proportional to 89,030 and 138,651

Step by Step Solution

1. Step 1: Write the proportion equation
   89,030 : 138,651 = 138,651 : x
2. Step 2: Convert to fraction form
   89,030/138,651 = 138,651/x
3. Step 3: Cross multiply
   89,030x = 138,651 × 138,651
4. Step 4: Simplify right side
   89,030x = 19,224,099,801
5. Step 5: Solve for x
   x = 19,224,099,801/89,030
6. Step 6: Final answer
   x = 215,928.34