Finding the Third Proportional to 157,596 and 231,210

Step by Step Solution

1. Step 1: Write the proportion equation
   157,596 : 231,210 = 231,210 : x
2. Step 2: Convert to fraction form
   157,596/231,210 = 231,210/x
3. Step 3: Cross multiply
   157,596x = 231,210 × 231,210
4. Step 4: Simplify right side
   157,596x = 53,458,064,100
5. Step 5: Solve for x
   x = 53,458,064,100/157,596
6. Step 6: Final answer
   x = 339,209.52