Finding the Third Proportional to 147,969 and 231,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,969 : 231,874.50 = 231,874.50 : x
2. Step 2: Convert to fraction form
   147,969/231,874.50 = 231,874.50/x
3. Step 3: Cross multiply
   147,969x = 231,874.50 × 231,874.50
4. Step 4: Simplify right side
   147,969x = 53,765,783,750.25
5. Step 5: Solve for x
   x = 53,765,783,750.25/147,969
6. Step 6: Final answer
   x = 363,358.43