Finding the Third Proportional to 152,336 and 243,264

Step by Step Solution

1. Step 1: Write the proportion equation
   152,336 : 243,264 = 243,264 : x
2. Step 2: Convert to fraction form
   152,336/243,264 = 243,264/x
3. Step 3: Cross multiply
   152,336x = 243,264 × 243,264
4. Step 4: Simplify right side
   152,336x = 59,177,373,696
5. Step 5: Solve for x
   x = 59,177,373,696/152,336
6. Step 6: Final answer
   x = 388,466.11