Finding the Third Proportional to 89,032 and 137,672.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,032 : 137,672.75 = 137,672.75 : x
2. Step 2: Convert to fraction form
   89,032/137,672.75 = 137,672.75/x
3. Step 3: Cross multiply
   89,032x = 137,672.75 × 137,672.75
4. Step 4: Simplify right side
   89,032x = 18,953,786,092.56
5. Step 5: Solve for x
   x = 18,953,786,092.56/89,032
6. Step 6: Final answer
   x = 212,887.34