Finding the Third Proportional to 133,083 and 199,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,083 : 199,624.50 = 199,624.50 : x
2. Step 2: Convert to fraction form
   133,083/199,624.50 = 199,624.50/x
3. Step 3: Cross multiply
   133,083x = 199,624.50 × 199,624.50
4. Step 4: Simplify right side
   133,083x = 39,849,941,000.25
5. Step 5: Solve for x
   x = 39,849,941,000.25/133,083
6. Step 6: Final answer
   x = 299,436.75