Finding the Third Proportional to 152,412 and 205,596

Step by Step Solution

1. Step 1: Write the proportion equation
   152,412 : 205,596 = 205,596 : x
2. Step 2: Convert to fraction form
   152,412/205,596 = 205,596/x
3. Step 3: Cross multiply
   152,412x = 205,596 × 205,596
4. Step 4: Simplify right side
   152,412x = 42,269,715,216
5. Step 5: Solve for x
   x = 42,269,715,216/152,412
6. Step 6: Final answer
   x = 277,338.50