Finding the Third Proportional to 85,444 and 186,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,444 : 186,971.50 = 186,971.50 : x
2. Step 2: Convert to fraction form
   85,444/186,971.50 = 186,971.50/x
3. Step 3: Cross multiply
   85,444x = 186,971.50 × 186,971.50
4. Step 4: Simplify right side
   85,444x = 34,958,341,812.25
5. Step 5: Solve for x
   x = 34,958,341,812.25/85,444
6. Step 6: Final answer
   x = 409,137.47