Finding the Third Proportional to 175,953 and 414,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,953 : 414,952.50 = 414,952.50 : x
2. Step 2: Convert to fraction form
   175,953/414,952.50 = 414,952.50/x
3. Step 3: Cross multiply
   175,953x = 414,952.50 × 414,952.50
4. Step 4: Simplify right side
   175,953x = 172,185,577,256.25
5. Step 5: Solve for x
   x = 172,185,577,256.25/175,953
6. Step 6: Final answer
   x = 978,588.47