Finding the Third Proportional to 175,901.63 and 414,826.31

Step by Step Solution

1. Step 1: Write the proportion equation
   175,901.63 : 414,826.31 = 414,826.31 : x
2. Step 2: Convert to fraction form
   175,901.63/414,826.31 = 414,826.31/x
3. Step 3: Cross multiply
   175,901.63x = 414,826.31 × 414,826.31
4. Step 4: Simplify right side
   175,901.63x = 172,080,869,542.35
5. Step 5: Solve for x
   x = 172,080,869,542.35/175,901.63
6. Step 6: Final answer
   x = 978,279.02