Finding the Third Proportional to 133,515 and 178,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,515 : 178,348.50 = 178,348.50 : x
2. Step 2: Convert to fraction form
   133,515/178,348.50 = 178,348.50/x
3. Step 3: Cross multiply
   133,515x = 178,348.50 × 178,348.50
4. Step 4: Simplify right side
   133,515x = 31,808,187,452.25
5. Step 5: Solve for x
   x = 31,808,187,452.25/133,515
6. Step 6: Final answer
   x = 238,236.81