Finding the Third Proportional to 123,181.75 and 265,591

Step by Step Solution

1. Step 1: Write the proportion equation
   123,181.75 : 265,591 = 265,591 : x
2. Step 2: Convert to fraction form
   123,181.75/265,591 = 265,591/x
3. Step 3: Cross multiply
   123,181.75x = 265,591 × 265,591
4. Step 4: Simplify right side
   123,181.75x = 70,538,579,281
5. Step 5: Solve for x
   x = 70,538,579,281/123,181.75
6. Step 6: Final answer
   x = 572,638.23