Finding the Third Proportional to 89,126 and 185,600

Step by Step Solution

1. Step 1: Write the proportion equation
   89,126 : 185,600 = 185,600 : x
2. Step 2: Convert to fraction form
   89,126/185,600 = 185,600/x
3. Step 3: Cross multiply
   89,126x = 185,600 × 185,600
4. Step 4: Simplify right side
   89,126x = 34,447,360,000
5. Step 5: Solve for x
   x = 34,447,360,000/89,126
6. Step 6: Final answer
   x = 386,501.81