Finding the Third Proportional to 120,720 and 257,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,720 : 257,032.50 = 257,032.50 : x
2. Step 2: Convert to fraction form
   120,720/257,032.50 = 257,032.50/x
3. Step 3: Cross multiply
   120,720x = 257,032.50 × 257,032.50
4. Step 4: Simplify right side
   120,720x = 66,065,706,056.25
5. Step 5: Solve for x
   x = 66,065,706,056.25/120,720
6. Step 6: Final answer
   x = 547,263.97