Finding the Third Proportional to 133,874 and 178,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,874 : 178,478.50 = 178,478.50 : x
2. Step 2: Convert to fraction form
   133,874/178,478.50 = 178,478.50/x
3. Step 3: Cross multiply
   133,874x = 178,478.50 × 178,478.50
4. Step 4: Simplify right side
   133,874x = 31,854,574,962.25
5. Step 5: Solve for x
   x = 31,854,574,962.25/133,874
6. Step 6: Final answer
   x = 237,944.45