Finding the Third Proportional to 116,778 and 156,914

Step by Step Solution

1. Step 1: Write the proportion equation
   116,778 : 156,914 = 156,914 : x
2. Step 2: Convert to fraction form
   116,778/156,914 = 156,914/x
3. Step 3: Cross multiply
   116,778x = 156,914 × 156,914
4. Step 4: Simplify right side
   116,778x = 24,622,003,396
5. Step 5: Solve for x
   x = 24,622,003,396/116,778
6. Step 6: Final answer
   x = 210,844.54