Finding the Third Proportional to 72,778 and 156,716

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778 : 156,716 = 156,716 : x
2. Step 2: Convert to fraction form
   72,778/156,716 = 156,716/x
3. Step 3: Cross multiply
   72,778x = 156,716 × 156,716
4. Step 4: Simplify right side
   72,778x = 24,559,904,656
5. Step 5: Solve for x
   x = 24,559,904,656/72,778
6. Step 6: Final answer
   x = 337,463.31