Finding the Third Proportional to 78,177 and 184,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,177 : 184,363.50 = 184,363.50 : x
2. Step 2: Convert to fraction form
   78,177/184,363.50 = 184,363.50/x
3. Step 3: Cross multiply
   78,177x = 184,363.50 × 184,363.50
4. Step 4: Simplify right side
   78,177x = 33,989,900,132.25
5. Step 5: Solve for x
   x = 33,989,900,132.25/78,177
6. Step 6: Final answer
   x = 434,781.33