Finding the Third Proportional to 123,516 and 265,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,516 : 265,756.50 = 265,756.50 : x
2. Step 2: Convert to fraction form
   123,516/265,756.50 = 265,756.50/x
3. Step 3: Cross multiply
   123,516x = 265,756.50 × 265,756.50
4. Step 4: Simplify right side
   123,516x = 70,626,517,292.25
5. Step 5: Solve for x
   x = 70,626,517,292.25/123,516
6. Step 6: Final answer
   x = 571,800.55