Finding the Third Proportional to 136,820 and 205,630

Step by Step Solution

1. Step 1: Write the proportion equation
   136,820 : 205,630 = 205,630 : x
2. Step 2: Convert to fraction form
   136,820/205,630 = 205,630/x
3. Step 3: Cross multiply
   136,820x = 205,630 × 205,630
4. Step 4: Simplify right side
   136,820x = 42,283,696,900
5. Step 5: Solve for x
   x = 42,283,696,900/136,820
6. Step 6: Final answer
   x = 309,046.17