Finding the Third Proportional to 137,970 and 213,066

Step by Step Solution

1. Step 1: Write the proportion equation
   137,970 : 213,066 = 213,066 : x
2. Step 2: Convert to fraction form
   137,970/213,066 = 213,066/x
3. Step 3: Cross multiply
   137,970x = 213,066 × 213,066
4. Step 4: Simplify right side
   137,970x = 45,397,120,356
5. Step 5: Solve for x
   x = 45,397,120,356/137,970
6. Step 6: Final answer
   x = 329,036.17