Finding the Third Proportional to 185,871 and 295,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,871 : 295,384.50 = 295,384.50 : x
2. Step 2: Convert to fraction form
   185,871/295,384.50 = 295,384.50/x
3. Step 3: Cross multiply
   185,871x = 295,384.50 × 295,384.50
4. Step 4: Simplify right side
   185,871x = 87,252,002,840.25
5. Step 5: Solve for x
   x = 87,252,002,840.25/185,871
6. Step 6: Final answer
   x = 469,422.36