Finding the Third Proportional to 307,642.50 and 465,714

Step by Step Solution

1. Step 1: Write the proportion equation
   307,642.50 : 465,714 = 465,714 : x
2. Step 2: Convert to fraction form
   307,642.50/465,714 = 465,714/x
3. Step 3: Cross multiply
   307,642.50x = 465,714 × 465,714
4. Step 4: Simplify right side
   307,642.50x = 216,889,529,796
5. Step 5: Solve for x
   x = 216,889,529,796/307,642.50
6. Step 6: Final answer
   x = 705,005.09