Finding the Third Proportional to 149,534 and 222,139

Step by Step Solution

1. Step 1: Write the proportion equation
   149,534 : 222,139 = 222,139 : x
2. Step 2: Convert to fraction form
   149,534/222,139 = 222,139/x
3. Step 3: Cross multiply
   149,534x = 222,139 × 222,139
4. Step 4: Simplify right side
   149,534x = 49,345,735,321
5. Step 5: Solve for x
   x = 49,345,735,321/149,534
6. Step 6: Final answer
   x = 329,996.76