Finding the Third Proportional to 85,143 and 185,023

Step by Step Solution

1. Step 1: Write the proportion equation
   85,143 : 185,023 = 185,023 : x
2. Step 2: Convert to fraction form
   85,143/185,023 = 185,023/x
3. Step 3: Cross multiply
   85,143x = 185,023 × 185,023
4. Step 4: Simplify right side
   85,143x = 34,233,510,529
5. Step 5: Solve for x
   x = 34,233,510,529/85,143
6. Step 6: Final answer
   x = 402,070.76