Finding the Third Proportional to 85,822 and 186,900

Step by Step Solution

1. Step 1: Write the proportion equation
   85,822 : 186,900 = 186,900 : x
2. Step 2: Convert to fraction form
   85,822/186,900 = 186,900/x
3. Step 3: Cross multiply
   85,822x = 186,900 × 186,900
4. Step 4: Simplify right side
   85,822x = 34,931,610,000
5. Step 5: Solve for x
   x = 34,931,610,000/85,822
6. Step 6: Final answer
   x = 407,023.96