Finding the Third Proportional to 106,234 and 231,788

Step by Step Solution

1. Step 1: Write the proportion equation
   106,234 : 231,788 = 231,788 : x
2. Step 2: Convert to fraction form
   106,234/231,788 = 231,788/x
3. Step 3: Cross multiply
   106,234x = 231,788 × 231,788
4. Step 4: Simplify right side
   106,234x = 53,725,676,944
5. Step 5: Solve for x
   x = 53,725,676,944/106,234
6. Step 6: Final answer
   x = 505,729.59