Finding the Third Proportional to 105,346 and 231,300

Step by Step Solution

1. Step 1: Write the proportion equation
   105,346 : 231,300 = 231,300 : x
2. Step 2: Convert to fraction form
   105,346/231,300 = 231,300/x
3. Step 3: Cross multiply
   105,346x = 231,300 × 231,300
4. Step 4: Simplify right side
   105,346x = 53,499,690,000
5. Step 5: Solve for x
   x = 53,499,690,000/105,346
6. Step 6: Final answer
   x = 507,847.38