Finding the Third Proportional to 93,566 and 205,814

Step by Step Solution

1. Step 1: Write the proportion equation
   93,566 : 205,814 = 205,814 : x
2. Step 2: Convert to fraction form
   93,566/205,814 = 205,814/x
3. Step 3: Cross multiply
   93,566x = 205,814 × 205,814
4. Step 4: Simplify right side
   93,566x = 42,359,402,596
5. Step 5: Solve for x
   x = 42,359,402,596/93,566
6. Step 6: Final answer
   x = 452,722.17