Finding the Third Proportional to 179,931 and 384,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,931 : 384,775.50 = 384,775.50 : x
2. Step 2: Convert to fraction form
   179,931/384,775.50 = 384,775.50/x
3. Step 3: Cross multiply
   179,931x = 384,775.50 × 384,775.50
4. Step 4: Simplify right side
   179,931x = 148,052,185,400.25
5. Step 5: Solve for x
   x = 148,052,185,400.25/179,931
6. Step 6: Final answer
   x = 822,827.56