Finding the Third Proportional to 265,437 and 577,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,437 : 577,525.50 = 577,525.50 : x
2. Step 2: Convert to fraction form
   265,437/577,525.50 = 577,525.50/x
3. Step 3: Cross multiply
   265,437x = 577,525.50 × 577,525.50
4. Step 4: Simplify right side
   265,437x = 333,535,703,150.25
5. Step 5: Solve for x
   x = 333,535,703,150.25/265,437
6. Step 6: Final answer
   x = 1,256,553.17