Finding the Third Proportional to 83,385 and 185,421

Step by Step Solution

1. Step 1: Write the proportion equation
   83,385 : 185,421 = 185,421 : x
2. Step 2: Convert to fraction form
   83,385/185,421 = 185,421/x
3. Step 3: Cross multiply
   83,385x = 185,421 × 185,421
4. Step 4: Simplify right side
   83,385x = 34,380,947,241
5. Step 5: Solve for x
   x = 34,380,947,241/83,385
6. Step 6: Final answer
   x = 412,315.73