Finding the Third Proportional to 65,924 and 146,086

Step by Step Solution

1. Step 1: Write the proportion equation
   65,924 : 146,086 = 146,086 : x
2. Step 2: Convert to fraction form
   65,924/146,086 = 146,086/x
3. Step 3: Cross multiply
   65,924x = 146,086 × 146,086
4. Step 4: Simplify right side
   65,924x = 21,341,119,396
5. Step 5: Solve for x
   x = 21,341,119,396/65,924
6. Step 6: Final answer
   x = 323,723.07