Finding the Third Proportional to 120,547 and 262,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,547 : 262,517.50 = 262,517.50 : x
2. Step 2: Convert to fraction form
   120,547/262,517.50 = 262,517.50/x
3. Step 3: Cross multiply
   120,547x = 262,517.50 × 262,517.50
4. Step 4: Simplify right side
   120,547x = 68,915,437,806.25
5. Step 5: Solve for x
   x = 68,915,437,806.25/120,547
6. Step 6: Final answer
   x = 571,689.36