Finding the Third Proportional to 305,536 and 657,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,536 : 657,665.50 = 657,665.50 : x
2. Step 2: Convert to fraction form
   305,536/657,665.50 = 657,665.50/x
3. Step 3: Cross multiply
   305,536x = 657,665.50 × 657,665.50
4. Step 4: Simplify right side
   305,536x = 432,523,909,890.25
5. Step 5: Solve for x
   x = 432,523,909,890.25/305,536
6. Step 6: Final answer
   x = 1,415,623.40