Finding the Third Proportional to 152,758 and 231,677

Step by Step Solution

1. Step 1: Write the proportion equation
   152,758 : 231,677 = 231,677 : x
2. Step 2: Convert to fraction form
   152,758/231,677 = 231,677/x
3. Step 3: Cross multiply
   152,758x = 231,677 × 231,677
4. Step 4: Simplify right side
   152,758x = 53,674,232,329
5. Step 5: Solve for x
   x = 53,674,232,329/152,758
6. Step 6: Final answer
   x = 351,367.73