Finding the Third Proportional to 231,664.50 and 369,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   231,664.50 : 369,978.75 = 369,978.75 : x
2. Step 2: Convert to fraction form
   231,664.50/369,978.75 = 369,978.75/x
3. Step 3: Cross multiply
   231,664.50x = 369,978.75 × 369,978.75
4. Step 4: Simplify right side
   231,664.50x = 136,884,275,451.56
5. Step 5: Solve for x
   x = 136,884,275,451.56/231,664.50
6. Step 6: Final answer
   x = 590,872.90