Finding the Third Proportional to 85,851.38 and 186,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,851.38 : 186,476.50 = 186,476.50 : x
2. Step 2: Convert to fraction form
   85,851.38/186,476.50 = 186,476.50/x
3. Step 3: Cross multiply
   85,851.38x = 186,476.50 × 186,476.50
4. Step 4: Simplify right side
   85,851.38x = 34,773,485,052.25
5. Step 5: Solve for x
   x = 34,773,485,052.25/85,851.38
6. Step 6: Final answer
   x = 405,042.84