Finding the Third Proportional to 82,023 and 133,934

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023 : 133,934 = 133,934 : x
2. Step 2: Convert to fraction form
   82,023/133,934 = 133,934/x
3. Step 3: Cross multiply
   82,023x = 133,934 × 133,934
4. Step 4: Simplify right side
   82,023x = 17,938,316,356
5. Step 5: Solve for x
   x = 17,938,316,356/82,023
6. Step 6: Final answer
   x = 218,698.61