Finding the Third Proportional to 89,045 and 138,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,045 : 138,673.50 = 138,673.50 : x
2. Step 2: Convert to fraction form
   89,045/138,673.50 = 138,673.50/x
3. Step 3: Cross multiply
   89,045x = 138,673.50 × 138,673.50
4. Step 4: Simplify right side
   89,045x = 19,230,339,602.25
5. Step 5: Solve for x
   x = 19,230,339,602.25/89,045
6. Step 6: Final answer
   x = 215,962.04