Finding the Third Proportional to 231,953 and 359,153

Step by Step Solution

1. Step 1: Write the proportion equation
   231,953 : 359,153 = 359,153 : x
2. Step 2: Convert to fraction form
   231,953/359,153 = 359,153/x
3. Step 3: Cross multiply
   231,953x = 359,153 × 359,153
4. Step 4: Simplify right side
   231,953x = 128,990,877,409
5. Step 5: Solve for x
   x = 128,990,877,409/231,953
6. Step 6: Final answer
   x = 556,107.82