Finding the Third Proportional to 111,402 and 182,877

Step by Step Solution

1. Step 1: Write the proportion equation
   111,402 : 182,877 = 182,877 : x
2. Step 2: Convert to fraction form
   111,402/182,877 = 182,877/x
3. Step 3: Cross multiply
   111,402x = 182,877 × 182,877
4. Step 4: Simplify right side
   111,402x = 33,443,997,129
5. Step 5: Solve for x
   x = 33,443,997,129/111,402
6. Step 6: Final answer
   x = 300,210.02