Finding the Third Proportional to 456,700 and 638,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,700 : 638,494.50 = 638,494.50 : x
2. Step 2: Convert to fraction form
   456,700/638,494.50 = 638,494.50/x
3. Step 3: Cross multiply
   456,700x = 638,494.50 × 638,494.50
4. Step 4: Simplify right side
   456,700x = 407,675,226,530.25
5. Step 5: Solve for x
   x = 407,675,226,530.25/456,700
6. Step 6: Final answer
   x = 892,654.32