Finding the Third Proportional to 106,710 and 233,100

Step by Step Solution

1. Step 1: Write the proportion equation
   106,710 : 233,100 = 233,100 : x
2. Step 2: Convert to fraction form
   106,710/233,100 = 233,100/x
3. Step 3: Cross multiply
   106,710x = 233,100 × 233,100
4. Step 4: Simplify right side
   106,710x = 54,335,610,000
5. Step 5: Solve for x
   x = 54,335,610,000/106,710
6. Step 6: Final answer
   x = 509,189.49