Finding the Third Proportional to 82,145 and 117,385

Step by Step Solution

1. Step 1: Write the proportion equation
   82,145 : 117,385 = 117,385 : x
2. Step 2: Convert to fraction form
   82,145/117,385 = 117,385/x
3. Step 3: Cross multiply
   82,145x = 117,385 × 117,385
4. Step 4: Simplify right side
   82,145x = 13,779,238,225
5. Step 5: Solve for x
   x = 13,779,238,225/82,145
6. Step 6: Final answer
   x = 167,742.87