Finding the Third Proportional to 77,182.88 and 166,667.63

Step by Step Solution

1. Step 1: Write the proportion equation
   77,182.88 : 166,667.63 = 166,667.63 : x
2. Step 2: Convert to fraction form
   77,182.88/166,667.63 = 166,667.63/x
3. Step 3: Cross multiply
   77,182.88x = 166,667.63 × 166,667.63
4. Step 4: Simplify right side
   77,182.88x = 27,778,097,223.14
5. Step 5: Solve for x
   x = 27,778,097,223.14/77,182.88
6. Step 6: Final answer
   x = 359,899.75