Finding the Third Proportional to 120,592.50 and 262,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,592.50 : 262,612.50 = 262,612.50 : x
2. Step 2: Convert to fraction form
   120,592.50/262,612.50 = 262,612.50/x
3. Step 3: Cross multiply
   120,592.50x = 262,612.50 × 262,612.50
4. Step 4: Simplify right side
   120,592.50x = 68,965,325,156.25
5. Step 5: Solve for x
   x = 68,965,325,156.25/120,592.50
6. Step 6: Final answer
   x = 571,887.35