Finding the Third Proportional to 301,029 and 412,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,029 : 412,792.50 = 412,792.50 : x
2. Step 2: Convert to fraction form
   301,029/412,792.50 = 412,792.50/x
3. Step 3: Cross multiply
   301,029x = 412,792.50 × 412,792.50
4. Step 4: Simplify right side
   301,029x = 170,397,648,056.25
5. Step 5: Solve for x
   x = 170,397,648,056.25/301,029
6. Step 6: Final answer
   x = 566,050.61