Finding the Third Proportional to 75,902.50 and 164,930

Step by Step Solution

1. Step 1: Write the proportion equation
   75,902.50 : 164,930 = 164,930 : x
2. Step 2: Convert to fraction form
   75,902.50/164,930 = 164,930/x
3. Step 3: Cross multiply
   75,902.50x = 164,930 × 164,930
4. Step 4: Simplify right side
   75,902.50x = 27,201,904,900
5. Step 5: Solve for x
   x = 27,201,904,900/75,902.50
6. Step 6: Final answer
   x = 358,379.56