Finding the Third Proportional to 166,076 and 264,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,076 : 264,384.50 = 264,384.50 : x
2. Step 2: Convert to fraction form
   166,076/264,384.50 = 264,384.50/x
3. Step 3: Cross multiply
   166,076x = 264,384.50 × 264,384.50
4. Step 4: Simplify right side
   166,076x = 69,899,163,840.25
5. Step 5: Solve for x
   x = 69,899,163,840.25/166,076
6. Step 6: Final answer
   x = 420,886.61