Finding the Third Proportional to 82,117 and 123,637

Step by Step Solution

1. Step 1: Write the proportion equation
   82,117 : 123,637 = 123,637 : x
2. Step 2: Convert to fraction form
   82,117/123,637 = 123,637/x
3. Step 3: Cross multiply
   82,117x = 123,637 × 123,637
4. Step 4: Simplify right side
   82,117x = 15,286,107,769
5. Step 5: Solve for x
   x = 15,286,107,769/82,117
6. Step 6: Final answer
   x = 186,150.34