Finding the Third Proportional to 133,570 and 208,014

Step by Step Solution

1. Step 1: Write the proportion equation
   133,570 : 208,014 = 208,014 : x
2. Step 2: Convert to fraction form
   133,570/208,014 = 208,014/x
3. Step 3: Cross multiply
   133,570x = 208,014 × 208,014
4. Step 4: Simplify right side
   133,570x = 43,269,824,196
5. Step 5: Solve for x
   x = 43,269,824,196/133,570
6. Step 6: Final answer
   x = 323,948.67