Finding the Third Proportional to 253,575 and 535,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   253,575 : 535,443.75 = 535,443.75 : x
2. Step 2: Convert to fraction form
   253,575/535,443.75 = 535,443.75/x
3. Step 3: Cross multiply
   253,575x = 535,443.75 × 535,443.75
4. Step 4: Simplify right side
   253,575x = 286,700,009,414.06
5. Step 5: Solve for x
   x = 286,700,009,414.06/253,575
6. Step 6: Final answer
   x = 1,130,632.00