Finding the Third Proportional to 231,666 and 369,980

Step by Step Solution

1. Step 1: Write the proportion equation
   231,666 : 369,980 = 369,980 : x
2. Step 2: Convert to fraction form
   231,666/369,980 = 369,980/x
3. Step 3: Cross multiply
   231,666x = 369,980 × 369,980
4. Step 4: Simplify right side
   231,666x = 136,885,200,400
5. Step 5: Solve for x
   x = 136,885,200,400/231,666
6. Step 6: Final answer
   x = 590,873.07