Finding the Third Proportional to 119,584 and 260,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,584 : 260,187.50 = 260,187.50 : x
2. Step 2: Convert to fraction form
   119,584/260,187.50 = 260,187.50/x
3. Step 3: Cross multiply
   119,584x = 260,187.50 × 260,187.50
4. Step 4: Simplify right side
   119,584x = 67,697,535,156.25
5. Step 5: Solve for x
   x = 67,697,535,156.25/119,584
6. Step 6: Final answer
   x = 566,108.64