Finding the Third Proportional to 152,698 and 228,345

Step by Step Solution

1. Step 1: Write the proportion equation
   152,698 : 228,345 = 228,345 : x
2. Step 2: Convert to fraction form
   152,698/228,345 = 228,345/x
3. Step 3: Cross multiply
   152,698x = 228,345 × 228,345
4. Step 4: Simplify right side
   152,698x = 52,141,439,025
5. Step 5: Solve for x
   x = 52,141,439,025/152,698
6. Step 6: Final answer
   x = 341,467.73