Finding the Third Proportional to 93,564 and 205,810

Step by Step Solution

1. Step 1: Write the proportion equation
   93,564 : 205,810 = 205,810 : x
2. Step 2: Convert to fraction form
   93,564/205,810 = 205,810/x
3. Step 3: Cross multiply
   93,564x = 205,810 × 205,810
4. Step 4: Simplify right side
   93,564x = 42,357,756,100
5. Step 5: Solve for x
   x = 42,357,756,100/93,564
6. Step 6: Final answer
   x = 452,714.25