Finding the Third Proportional to 295,257 and 458,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,257 : 458,059.50 = 458,059.50 : x
2. Step 2: Convert to fraction form
   295,257/458,059.50 = 458,059.50/x
3. Step 3: Cross multiply
   295,257x = 458,059.50 × 458,059.50
4. Step 4: Simplify right side
   295,257x = 209,818,505,540.25
5. Step 5: Solve for x
   x = 209,818,505,540.25/295,257
6. Step 6: Final answer
   x = 710,630.08