Finding the Third Proportional to 73,874.50 and 178,098

Step by Step Solution

1. Step 1: Write the proportion equation
   73,874.50 : 178,098 = 178,098 : x
2. Step 2: Convert to fraction form
   73,874.50/178,098 = 178,098/x
3. Step 3: Cross multiply
   73,874.50x = 178,098 × 178,098
4. Step 4: Simplify right side
   73,874.50x = 31,718,897,604
5. Step 5: Solve for x
   x = 31,718,897,604/73,874.50
6. Step 6: Final answer
   x = 429,361.93