Finding the Third Proportional to 133,064 and 206,429

Step by Step Solution

1. Step 1: Write the proportion equation
   133,064 : 206,429 = 206,429 : x
2. Step 2: Convert to fraction form
   133,064/206,429 = 206,429/x
3. Step 3: Cross multiply
   133,064x = 206,429 × 206,429
4. Step 4: Simplify right side
   133,064x = 42,612,932,041
5. Step 5: Solve for x
   x = 42,612,932,041/133,064
6. Step 6: Final answer
   x = 320,243.88