Finding the Third Proportional to 83,814 and 111,897

Step by Step Solution

1. Step 1: Write the proportion equation
   83,814 : 111,897 = 111,897 : x
2. Step 2: Convert to fraction form
   83,814/111,897 = 111,897/x
3. Step 3: Cross multiply
   83,814x = 111,897 × 111,897
4. Step 4: Simplify right side
   83,814x = 12,520,938,609
5. Step 5: Solve for x
   x = 12,520,938,609/83,814
6. Step 6: Final answer
   x = 149,389.58