Finding the Third Proportional to 89,076 and 185,523

Step by Step Solution

1. Step 1: Write the proportion equation
   89,076 : 185,523 = 185,523 : x
2. Step 2: Convert to fraction form
   89,076/185,523 = 185,523/x
3. Step 3: Cross multiply
   89,076x = 185,523 × 185,523
4. Step 4: Simplify right side
   89,076x = 34,418,783,529
5. Step 5: Solve for x
   x = 34,418,783,529/89,076
6. Step 6: Final answer
   x = 386,397.95