Finding the Third Proportional to 77,305.50 and 167,832

Step by Step Solution

1. Step 1: Write the proportion equation
   77,305.50 : 167,832 = 167,832 : x
2. Step 2: Convert to fraction form
   77,305.50/167,832 = 167,832/x
3. Step 3: Cross multiply
   77,305.50x = 167,832 × 167,832
4. Step 4: Simplify right side
   77,305.50x = 28,167,580,224
5. Step 5: Solve for x
   x = 28,167,580,224/77,305.50
6. Step 6: Final answer
   x = 364,367.09