Finding the Third Proportional to 154,820 and 231,654

Step by Step Solution

1. Step 1: Write the proportion equation
   154,820 : 231,654 = 231,654 : x
2. Step 2: Convert to fraction form
   154,820/231,654 = 231,654/x
3. Step 3: Cross multiply
   154,820x = 231,654 × 231,654
4. Step 4: Simplify right side
   154,820x = 53,663,575,716
5. Step 5: Solve for x
   x = 53,663,575,716/154,820
6. Step 6: Final answer
   x = 346,619.14