Finding the Third Proportional to 83,742.75 and 184,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,742.75 : 184,089.38 = 184,089.38 : x
2. Step 2: Convert to fraction form
   83,742.75/184,089.38 = 184,089.38/x
3. Step 3: Cross multiply
   83,742.75x = 184,089.38 × 184,089.38
4. Step 4: Simplify right side
   83,742.75x = 33,888,897,987.89
5. Step 5: Solve for x
   x = 33,888,897,987.89/83,742.75
6. Step 6: Final answer
   x = 404,678.59