Finding the Third Proportional to 117,408 and 178,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,408 : 178,353.50 = 178,353.50 : x
2. Step 2: Convert to fraction form
   117,408/178,353.50 = 178,353.50/x
3. Step 3: Cross multiply
   117,408x = 178,353.50 × 178,353.50
4. Step 4: Simplify right side
   117,408x = 31,809,970,962.25
5. Step 5: Solve for x
   x = 31,809,970,962.25/117,408
6. Step 6: Final answer
   x = 270,935.29