Finding the Third Proportional to 116,662.50 and 255,924

Step by Step Solution

1. Step 1: Write the proportion equation
   116,662.50 : 255,924 = 255,924 : x
2. Step 2: Convert to fraction form
   116,662.50/255,924 = 255,924/x
3. Step 3: Cross multiply
   116,662.50x = 255,924 × 255,924
4. Step 4: Simplify right side
   116,662.50x = 65,497,093,776
5. Step 5: Solve for x
   x = 65,497,093,776/116,662.50
6. Step 6: Final answer
   x = 561,423.71