Finding the Third Proportional to 133,825.50 and 182,279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   133,825.50 : 182,279.25 = 182,279.25 : x
2. Step 2: Convert to fraction form
   133,825.50/182,279.25 = 182,279.25/x
3. Step 3: Cross multiply
   133,825.50x = 182,279.25 × 182,279.25
4. Step 4: Simplify right side
   133,825.50x = 33,225,724,980.56
5. Step 5: Solve for x
   x = 33,225,724,980.56/133,825.50
6. Step 6: Final answer
   x = 248,276.49