Finding the Third Proportional to 133,548 and 178,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,548 : 178,399.50 = 178,399.50 : x
2. Step 2: Convert to fraction form
   133,548/178,399.50 = 178,399.50/x
3. Step 3: Cross multiply
   133,548x = 178,399.50 × 178,399.50
4. Step 4: Simplify right side
   133,548x = 31,826,381,600.25
5. Step 5: Solve for x
   x = 31,826,381,600.25/133,548
6. Step 6: Final answer
   x = 238,314.18