Finding the Third Proportional to 78,040 and 184,157

Step by Step Solution

1. Step 1: Write the proportion equation
   78,040 : 184,157 = 184,157 : x
2. Step 2: Convert to fraction form
   78,040/184,157 = 184,157/x
3. Step 3: Cross multiply
   78,040x = 184,157 × 184,157
4. Step 4: Simplify right side
   78,040x = 33,913,800,649
5. Step 5: Solve for x
   x = 33,913,800,649/78,040
6. Step 6: Final answer
   x = 434,569.46