Finding the Third Proportional to 133,875 and 193,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,875 : 193,441.50 = 193,441.50 : x
2. Step 2: Convert to fraction form
   133,875/193,441.50 = 193,441.50/x
3. Step 3: Cross multiply
   133,875x = 193,441.50 × 193,441.50
4. Step 4: Simplify right side
   133,875x = 37,419,613,922.25
5. Step 5: Solve for x
   x = 37,419,613,922.25/133,875
6. Step 6: Final answer
   x = 279,511.59