Finding the Third Proportional to 85,823 and 185,940

Step by Step Solution

1. Step 1: Write the proportion equation
   85,823 : 185,940 = 185,940 : x
2. Step 2: Convert to fraction form
   85,823/185,940 = 185,940/x
3. Step 3: Cross multiply
   85,823x = 185,940 × 185,940
4. Step 4: Simplify right side
   85,823x = 34,573,683,600
5. Step 5: Solve for x
   x = 34,573,683,600/85,823
6. Step 6: Final answer
   x = 402,848.70