Finding the Third Proportional to 231,667.50 and 369,984

Step by Step Solution

1. Step 1: Write the proportion equation
   231,667.50 : 369,984 = 369,984 : x
2. Step 2: Convert to fraction form
   231,667.50/369,984 = 369,984/x
3. Step 3: Cross multiply
   231,667.50x = 369,984 × 369,984
4. Step 4: Simplify right side
   231,667.50x = 136,888,160,256
5. Step 5: Solve for x
   x = 136,888,160,256/231,667.50
6. Step 6: Final answer
   x = 590,882.02