Finding the Third Proportional to 133,863 and 178,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,863 : 178,462.50 = 178,462.50 : x
2. Step 2: Convert to fraction form
   133,863/178,462.50 = 178,462.50/x
3. Step 3: Cross multiply
   133,863x = 178,462.50 × 178,462.50
4. Step 4: Simplify right side
   133,863x = 31,848,863,906.25
5. Step 5: Solve for x
   x = 31,848,863,906.25/133,863
6. Step 6: Final answer
   x = 237,921.34