Finding the Third Proportional to 89,428 and 186,126

Step by Step Solution

1. Step 1: Write the proportion equation
   89,428 : 186,126 = 186,126 : x
2. Step 2: Convert to fraction form
   89,428/186,126 = 186,126/x
3. Step 3: Cross multiply
   89,428x = 186,126 × 186,126
4. Step 4: Simplify right side
   89,428x = 34,642,887,876
5. Step 5: Solve for x
   x = 34,642,887,876/89,428
6. Step 6: Final answer
   x = 387,383.01