Finding the Third Proportional to 178,234 and 242,123

Step by Step Solution

1. Step 1: Write the proportion equation
   178,234 : 242,123 = 242,123 : x
2. Step 2: Convert to fraction form
   178,234/242,123 = 242,123/x
3. Step 3: Cross multiply
   178,234x = 242,123 × 242,123
4. Step 4: Simplify right side
   178,234x = 58,623,547,129
5. Step 5: Solve for x
   x = 58,623,547,129/178,234
6. Step 6: Final answer
   x = 328,913.38