Finding the Third Proportional to 122,455 and 189,139

Step by Step Solution

1. Step 1: Write the proportion equation
   122,455 : 189,139 = 189,139 : x
2. Step 2: Convert to fraction form
   122,455/189,139 = 189,139/x
3. Step 3: Cross multiply
   122,455x = 189,139 × 189,139
4. Step 4: Simplify right side
   122,455x = 35,773,561,321
5. Step 5: Solve for x
   x = 35,773,561,321/122,455
6. Step 6: Final answer
   x = 292,136.39