Finding the Third Proportional to 78,025.78 and 184,076.30

Step by Step Solution

1. Step 1: Write the proportion equation
   78,025.78 : 184,076.30 = 184,076.30 : x
2. Step 2: Convert to fraction form
   78,025.78/184,076.30 = 184,076.30/x
3. Step 3: Cross multiply
   78,025.78x = 184,076.30 × 184,076.30
4. Step 4: Simplify right side
   78,025.78x = 33,884,083,071.21
5. Step 5: Solve for x
   x = 33,884,083,071.21/78,025.78
6. Step 6: Final answer
   x = 434,267.78