Finding the Third Proportional to 82,373 and 111,877

Step by Step Solution

1. Step 1: Write the proportion equation
   82,373 : 111,877 = 111,877 : x
2. Step 2: Convert to fraction form
   82,373/111,877 = 111,877/x
3. Step 3: Cross multiply
   82,373x = 111,877 × 111,877
4. Step 4: Simplify right side
   82,373x = 12,516,463,129
5. Step 5: Solve for x
   x = 12,516,463,129/82,373
6. Step 6: Final answer
   x = 151,948.61