Finding the Third Proportional to 231,686 and 370,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,686 : 370,010.50 = 370,010.50 : x
2. Step 2: Convert to fraction form
   231,686/370,010.50 = 370,010.50/x
3. Step 3: Cross multiply
   231,686x = 370,010.50 × 370,010.50
4. Step 4: Simplify right side
   231,686x = 136,907,770,110.25
5. Step 5: Solve for x
   x = 136,907,770,110.25/231,686
6. Step 6: Final answer
   x = 590,919.48