Finding the Third Proportional to 175,578 and 414,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,578 : 414,214.50 = 414,214.50 : x
2. Step 2: Convert to fraction form
   175,578/414,214.50 = 414,214.50/x
3. Step 3: Cross multiply
   175,578x = 414,214.50 × 414,214.50
4. Step 4: Simplify right side
   175,578x = 171,573,652,010.25
5. Step 5: Solve for x
   x = 171,573,652,010.25/175,578
6. Step 6: Final answer
   x = 977,193.34