Finding the Third Proportional to 152,523 and 231,894

Step by Step Solution

1. Step 1: Write the proportion equation
   152,523 : 231,894 = 231,894 : x
2. Step 2: Convert to fraction form
   152,523/231,894 = 231,894/x
3. Step 3: Cross multiply
   152,523x = 231,894 × 231,894
4. Step 4: Simplify right side
   152,523x = 53,774,827,236
5. Step 5: Solve for x
   x = 53,774,827,236/152,523
6. Step 6: Final answer
   x = 352,568.64