Finding the Third Proportional to 123,156 and 265,308.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,156 : 265,308.75 = 265,308.75 : x
2. Step 2: Convert to fraction form
   123,156/265,308.75 = 265,308.75/x
3. Step 3: Cross multiply
   123,156x = 265,308.75 × 265,308.75
4. Step 4: Simplify right side
   123,156x = 70,388,732,826.56
5. Step 5: Solve for x
   x = 70,388,732,826.56/123,156
6. Step 6: Final answer
   x = 571,541.24