Finding the Third Proportional to 123,196.50 and 264,796.88

Step by Step Solution

1. Step 1: Write the proportion equation
   123,196.50 : 264,796.88 = 264,796.88 : x
2. Step 2: Convert to fraction form
   123,196.50/264,796.88 = 264,796.88/x
3. Step 3: Cross multiply
   123,196.50x = 264,796.88 × 264,796.88
4. Step 4: Simplify right side
   123,196.50x = 70,117,385,009.77
5. Step 5: Solve for x
   x = 70,117,385,009.77/123,196.50
6. Step 6: Final answer
   x = 569,150.79