Finding the Third Proportional to 83,862 and 113,953

Step by Step Solution

1. Step 1: Write the proportion equation
   83,862 : 113,953 = 113,953 : x
2. Step 2: Convert to fraction form
   83,862/113,953 = 113,953/x
3. Step 3: Cross multiply
   83,862x = 113,953 × 113,953
4. Step 4: Simplify right side
   83,862x = 12,985,286,209
5. Step 5: Solve for x
   x = 12,985,286,209/83,862
6. Step 6: Final answer
   x = 154,841.12