Finding the Third Proportional to 176,892 and 381,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,892 : 381,805.50 = 381,805.50 : x
2. Step 2: Convert to fraction form
   176,892/381,805.50 = 381,805.50/x
3. Step 3: Cross multiply
   176,892x = 381,805.50 × 381,805.50
4. Step 4: Simplify right side
   176,892x = 145,775,439,830.25
5. Step 5: Solve for x
   x = 145,775,439,830.25/176,892
6. Step 6: Final answer
   x = 824,092.89