Finding the Third Proportional to 111,770 and 240,964

Step by Step Solution

1. Step 1: Write the proportion equation
   111,770 : 240,964 = 240,964 : x
2. Step 2: Convert to fraction form
   111,770/240,964 = 240,964/x
3. Step 3: Cross multiply
   111,770x = 240,964 × 240,964
4. Step 4: Simplify right side
   111,770x = 58,063,649,296
5. Step 5: Solve for x
   x = 58,063,649,296/111,770
6. Step 6: Final answer
   x = 519,492.25