Finding the Third Proportional to 89,818 and 137,455

Step by Step Solution

1. Step 1: Write the proportion equation
   89,818 : 137,455 = 137,455 : x
2. Step 2: Convert to fraction form
   89,818/137,455 = 137,455/x
3. Step 3: Cross multiply
   89,818x = 137,455 × 137,455
4. Step 4: Simplify right side
   89,818x = 18,893,877,025
5. Step 5: Solve for x
   x = 18,893,877,025/89,818
6. Step 6: Final answer
   x = 210,357.36