Finding the Third Proportional to 83,394 and 122,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,394 : 122,885.25 = 122,885.25 : x
2. Step 2: Convert to fraction form
   83,394/122,885.25 = 122,885.25/x
3. Step 3: Cross multiply
   83,394x = 122,885.25 × 122,885.25
4. Step 4: Simplify right side
   83,394x = 15,100,784,667.56
5. Step 5: Solve for x
   x = 15,100,784,667.56/83,394
6. Step 6: Final answer
   x = 181,077.59