Finding the Third Proportional to 133,842 and 196,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,842 : 196,294.50 = 196,294.50 : x
2. Step 2: Convert to fraction form
   133,842/196,294.50 = 196,294.50/x
3. Step 3: Cross multiply
   133,842x = 196,294.50 × 196,294.50
4. Step 4: Simplify right side
   133,842x = 38,531,530,730.25
5. Step 5: Solve for x
   x = 38,531,530,730.25/133,842
6. Step 6: Final answer
   x = 287,888.19