Finding the Third Proportional to 85,023 and 186,210

Step by Step Solution

1. Step 1: Write the proportion equation
   85,023 : 186,210 = 186,210 : x
2. Step 2: Convert to fraction form
   85,023/186,210 = 186,210/x
3. Step 3: Cross multiply
   85,023x = 186,210 × 186,210
4. Step 4: Simplify right side
   85,023x = 34,674,164,100
5. Step 5: Solve for x
   x = 34,674,164,100/85,023
6. Step 6: Final answer
   x = 407,820.99