Finding the Third Proportional to 178,624 and 375,632

Step by Step Solution

1. Step 1: Write the proportion equation
   178,624 : 375,632 = 375,632 : x
2. Step 2: Convert to fraction form
   178,624/375,632 = 375,632/x
3. Step 3: Cross multiply
   178,624x = 375,632 × 375,632
4. Step 4: Simplify right side
   178,624x = 141,099,399,424
5. Step 5: Solve for x
   x = 141,099,399,424/178,624
6. Step 6: Final answer
   x = 789,924.08