Finding the Third Proportional to 86,274.49 and 184,543.31

Step by Step Solution

1. Step 1: Write the proportion equation
   86,274.49 : 184,543.31 = 184,543.31 : x
2. Step 2: Convert to fraction form
   86,274.49/184,543.31 = 184,543.31/x
3. Step 3: Cross multiply
   86,274.49x = 184,543.31 × 184,543.31
4. Step 4: Simplify right side
   86,274.49x = 34,056,234,188.47
5. Step 5: Solve for x
   x = 34,056,234,188.47/86,274.49
6. Step 6: Final answer
   x = 394,742.80