Finding the Third Proportional to 120,672.50 and 260,047

Step by Step Solution

1. Step 1: Write the proportion equation
   120,672.50 : 260,047 = 260,047 : x
2. Step 2: Convert to fraction form
   120,672.50/260,047 = 260,047/x
3. Step 3: Cross multiply
   120,672.50x = 260,047 × 260,047
4. Step 4: Simplify right side
   120,672.50x = 67,624,442,209
5. Step 5: Solve for x
   x = 67,624,442,209/120,672.50
6. Step 6: Final answer
   x = 560,396.46