Finding the Third Proportional to 123,513 and 265,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,513 : 265,750.50 = 265,750.50 : x
2. Step 2: Convert to fraction form
   123,513/265,750.50 = 265,750.50/x
3. Step 3: Cross multiply
   123,513x = 265,750.50 × 265,750.50
4. Step 4: Simplify right side
   123,513x = 70,623,328,250.25
5. Step 5: Solve for x
   x = 70,623,328,250.25/123,513
6. Step 6: Final answer
   x = 571,788.62