Finding the Third Proportional to 295,324.50 and 458,154

Step by Step Solution

1. Step 1: Write the proportion equation
   295,324.50 : 458,154 = 458,154 : x
2. Step 2: Convert to fraction form
   295,324.50/458,154 = 458,154/x
3. Step 3: Cross multiply
   295,324.50x = 458,154 × 458,154
4. Step 4: Simplify right side
   295,324.50x = 209,905,087,716
5. Step 5: Solve for x
   x = 209,905,087,716/295,324.50
6. Step 6: Final answer
   x = 710,760.83