Finding the Third Proportional to 111,771 and 242,595

Step by Step Solution

1. Step 1: Write the proportion equation
   111,771 : 242,595 = 242,595 : x
2. Step 2: Convert to fraction form
   111,771/242,595 = 242,595/x
3. Step 3: Cross multiply
   111,771x = 242,595 × 242,595
4. Step 4: Simplify right side
   111,771x = 58,852,334,025
5. Step 5: Solve for x
   x = 58,852,334,025/111,771
6. Step 6: Final answer
   x = 526,543.86