Finding the Third Proportional to 81,236 and 178,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,236 : 178,164.50 = 178,164.50 : x
2. Step 2: Convert to fraction form
   81,236/178,164.50 = 178,164.50/x
3. Step 3: Cross multiply
   81,236x = 178,164.50 × 178,164.50
4. Step 4: Simplify right side
   81,236x = 31,742,589,060.25
5. Step 5: Solve for x
   x = 31,742,589,060.25/81,236
6. Step 6: Final answer
   x = 390,745.35