Finding the Third Proportional to 156,778 and 338,132

Step by Step Solution

1. Step 1: Write the proportion equation
   156,778 : 338,132 = 338,132 : x
2. Step 2: Convert to fraction form
   156,778/338,132 = 338,132/x
3. Step 3: Cross multiply
   156,778x = 338,132 × 338,132
4. Step 4: Simplify right side
   156,778x = 114,333,249,424
5. Step 5: Solve for x
   x = 114,333,249,424/156,778
6. Step 6: Final answer
   x = 729,268.45