Finding the Third Proportional to 120,892.50 and 259,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,892.50 : 259,627.50 = 259,627.50 : x
2. Step 2: Convert to fraction form
   120,892.50/259,627.50 = 259,627.50/x
3. Step 3: Cross multiply
   120,892.50x = 259,627.50 × 259,627.50
4. Step 4: Simplify right side
   120,892.50x = 67,406,438,756.25
5. Step 5: Solve for x
   x = 67,406,438,756.25/120,892.50
6. Step 6: Final answer
   x = 557,573.37