Finding the Third Proportional to 175,513.50 and 413,906.63

Step by Step Solution

1. Step 1: Write the proportion equation
   175,513.50 : 413,906.63 = 413,906.63 : x
2. Step 2: Convert to fraction form
   175,513.50/413,906.63 = 413,906.63/x
3. Step 3: Cross multiply
   175,513.50x = 413,906.63 × 413,906.63
4. Step 4: Simplify right side
   175,513.50x = 171,318,694,218.89
5. Step 5: Solve for x
   x = 171,318,694,218.89/175,513.50
6. Step 6: Final answer
   x = 976,099.81