Finding the Third Proportional to 65,924 and 146,084

Step by Step Solution

1. Step 1: Write the proportion equation
   65,924 : 146,084 = 146,084 : x
2. Step 2: Convert to fraction form
   65,924/146,084 = 146,084/x
3. Step 3: Cross multiply
   65,924x = 146,084 × 146,084
4. Step 4: Simplify right side
   65,924x = 21,340,535,056
5. Step 5: Solve for x
   x = 21,340,535,056/65,924
6. Step 6: Final answer
   x = 323,714.20