Finding the Third Proportional to 140,964 and 206,154

Step by Step Solution

1. Step 1: Write the proportion equation
   140,964 : 206,154 = 206,154 : x
2. Step 2: Convert to fraction form
   140,964/206,154 = 206,154/x
3. Step 3: Cross multiply
   140,964x = 206,154 × 206,154
4. Step 4: Simplify right side
   140,964x = 42,499,471,716
5. Step 5: Solve for x
   x = 42,499,471,716/140,964
6. Step 6: Final answer
   x = 301,491.67