Finding the Third Proportional to 133,219 and 199,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,219 : 199,423.50 = 199,423.50 : x
2. Step 2: Convert to fraction form
   133,219/199,423.50 = 199,423.50/x
3. Step 3: Cross multiply
   133,219x = 199,423.50 × 199,423.50
4. Step 4: Simplify right side
   133,219x = 39,769,732,352.25
5. Step 5: Solve for x
   x = 39,769,732,352.25/133,219
6. Step 6: Final answer
   x = 298,528.98