Finding the Third Proportional to 175,572 and 414,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,572 : 414,200.25 = 414,200.25 : x
2. Step 2: Convert to fraction form
   175,572/414,200.25 = 414,200.25/x
3. Step 3: Cross multiply
   175,572x = 414,200.25 × 414,200.25
4. Step 4: Simplify right side
   175,572x = 171,561,847,100.06
5. Step 5: Solve for x
   x = 171,561,847,100.06/175,572
6. Step 6: Final answer
   x = 977,159.50