Finding the Third Proportional to 133,873.50 and 178,478

Step by Step Solution

1. Step 1: Write the proportion equation
   133,873.50 : 178,478 = 178,478 : x
2. Step 2: Convert to fraction form
   133,873.50/178,478 = 178,478/x
3. Step 3: Cross multiply
   133,873.50x = 178,478 × 178,478
4. Step 4: Simplify right side
   133,873.50x = 31,854,396,484
5. Step 5: Solve for x
   x = 31,854,396,484/133,873.50
6. Step 6: Final answer
   x = 237,944.00