Finding the Third Proportional to 83,023 and 180,158

Step by Step Solution

1. Step 1: Write the proportion equation
   83,023 : 180,158 = 180,158 : x
2. Step 2: Convert to fraction form
   83,023/180,158 = 180,158/x
3. Step 3: Cross multiply
   83,023x = 180,158 × 180,158
4. Step 4: Simplify right side
   83,023x = 32,456,904,964
5. Step 5: Solve for x
   x = 32,456,904,964/83,023
6. Step 6: Final answer
   x = 390,938.72