Finding the Third Proportional to 120,667.50 and 265,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,667.50 : 265,126.50 = 265,126.50 : x
2. Step 2: Convert to fraction form
   120,667.50/265,126.50 = 265,126.50/x
3. Step 3: Cross multiply
   120,667.50x = 265,126.50 × 265,126.50
4. Step 4: Simplify right side
   120,667.50x = 70,292,061,002.25
5. Step 5: Solve for x
   x = 70,292,061,002.25/120,667.50
6. Step 6: Final answer
   x = 582,526.87