Finding the Third Proportional to 80,126 and 185,488

Step by Step Solution

1. Step 1: Write the proportion equation
   80,126 : 185,488 = 185,488 : x
2. Step 2: Convert to fraction form
   80,126/185,488 = 185,488/x
3. Step 3: Cross multiply
   80,126x = 185,488 × 185,488
4. Step 4: Simplify right side
   80,126x = 34,405,798,144
5. Step 5: Solve for x
   x = 34,405,798,144/80,126
6. Step 6: Final answer
   x = 429,396.18