Finding the Third Proportional to 305,880 and 465,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,880 : 465,562.50 = 465,562.50 : x
2. Step 2: Convert to fraction form
   305,880/465,562.50 = 465,562.50/x
3. Step 3: Cross multiply
   305,880x = 465,562.50 × 465,562.50
4. Step 4: Simplify right side
   305,880x = 216,748,441,406.25
5. Step 5: Solve for x
   x = 216,748,441,406.25/305,880
6. Step 6: Final answer
   x = 708,606.12