Finding the Third Proportional to 82,188.42 and 176,667.33

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188.42 : 176,667.33 = 176,667.33 : x
2. Step 2: Convert to fraction form
   82,188.42/176,667.33 = 176,667.33/x
3. Step 3: Cross multiply
   82,188.42x = 176,667.33 × 176,667.33
4. Step 4: Simplify right side
   82,188.42x = 31,211,344,826.83
5. Step 5: Solve for x
   x = 31,211,344,826.83/82,188.42
6. Step 6: Final answer
   x = 379,753.55