Finding the Third Proportional to 175,611.38 and 414,414.56

Step by Step Solution

1. Step 1: Write the proportion equation
   175,611.38 : 414,414.56 = 414,414.56 : x
2. Step 2: Convert to fraction form
   175,611.38/414,414.56 = 414,414.56/x
3. Step 3: Cross multiply
   175,611.38x = 414,414.56 × 414,414.56
4. Step 4: Simplify right side
   175,611.38x = 171,739,429,612.07
5. Step 5: Solve for x
   x = 171,739,429,612.07/175,611.38
6. Step 6: Final answer
   x = 977,951.63