Finding the Third Proportional to 137,071 and 204,470

Step by Step Solution

1. Step 1: Write the proportion equation
   137,071 : 204,470 = 204,470 : x
2. Step 2: Convert to fraction form
   137,071/204,470 = 204,470/x
3. Step 3: Cross multiply
   137,071x = 204,470 × 204,470
4. Step 4: Simplify right side
   137,071x = 41,807,980,900
5. Step 5: Solve for x
   x = 41,807,980,900/137,071
6. Step 6: Final answer
   x = 305,009.67