Finding the Third Proportional to 111,234 and 262,465

Step by Step Solution

1. Step 1: Write the proportion equation
   111,234 : 262,465 = 262,465 : x
2. Step 2: Convert to fraction form
   111,234/262,465 = 262,465/x
3. Step 3: Cross multiply
   111,234x = 262,465 × 262,465
4. Step 4: Simplify right side
   111,234x = 68,887,876,225
5. Step 5: Solve for x
   x = 68,887,876,225/111,234
6. Step 6: Final answer
   x = 619,305.93