Finding the Third Proportional to 37,306 and 76,336

Step by Step Solution

1. Step 1: Write the proportion equation
   37,306 : 76,336 = 76,336 : x
2. Step 2: Convert to fraction form
   37,306/76,336 = 76,336/x
3. Step 3: Cross multiply
   37,306x = 76,336 × 76,336
4. Step 4: Simplify right side
   37,306x = 5,827,184,896
5. Step 5: Solve for x
   x = 5,827,184,896/37,306
6. Step 6: Final answer
   x = 156,199.67