Finding the Third Proportional to 85,014 and 186,188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,014 : 186,188.25 = 186,188.25 : x
2. Step 2: Convert to fraction form
   85,014/186,188.25 = 186,188.25/x
3. Step 3: Cross multiply
   85,014x = 186,188.25 × 186,188.25
4. Step 4: Simplify right side
   85,014x = 34,666,064,438.06
5. Step 5: Solve for x
   x = 34,666,064,438.06/85,014
6. Step 6: Final answer
   x = 407,768.89