Finding the Third Proportional to 85,842 and 186,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,842 : 186,461.50 = 186,461.50 : x
2. Step 2: Convert to fraction form
   85,842/186,461.50 = 186,461.50/x
3. Step 3: Cross multiply
   85,842x = 186,461.50 × 186,461.50
4. Step 4: Simplify right side
   85,842x = 34,767,890,982.25
5. Step 5: Solve for x
   x = 34,767,890,982.25/85,842
6. Step 6: Final answer
   x = 405,021.91