Finding the Third Proportional to 231,669.50 and 369,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,669.50 : 369,986.50 = 369,986.50 : x
2. Step 2: Convert to fraction form
   231,669.50/369,986.50 = 369,986.50/x
3. Step 3: Cross multiply
   231,669.50x = 369,986.50 × 369,986.50
4. Step 4: Simplify right side
   231,669.50x = 136,890,010,182.25
5. Step 5: Solve for x
   x = 136,890,010,182.25/231,669.50
6. Step 6: Final answer
   x = 590,884.90