Finding the Third Proportional to 81,233 and 178,158

Step by Step Solution

1. Step 1: Write the proportion equation
   81,233 : 178,158 = 178,158 : x
2. Step 2: Convert to fraction form
   81,233/178,158 = 178,158/x
3. Step 3: Cross multiply
   81,233x = 178,158 × 178,158
4. Step 4: Simplify right side
   81,233x = 31,740,272,964
5. Step 5: Solve for x
   x = 31,740,272,964/81,233
6. Step 6: Final answer
   x = 390,731.27