Finding the Third Proportional to 85,754 and 185,815

Step by Step Solution

1. Step 1: Write the proportion equation
   85,754 : 185,815 = 185,815 : x
2. Step 2: Convert to fraction form
   85,754/185,815 = 185,815/x
3. Step 3: Cross multiply
   85,754x = 185,815 × 185,815
4. Step 4: Simplify right side
   85,754x = 34,527,214,225
5. Step 5: Solve for x
   x = 34,527,214,225/85,754
6. Step 6: Final answer
   x = 402,630.95