Finding the Third Proportional to 98,644 and 152,570

Step by Step Solution

1. Step 1: Write the proportion equation
   98,644 : 152,570 = 152,570 : x
2. Step 2: Convert to fraction form
   98,644/152,570 = 152,570/x
3. Step 3: Cross multiply
   98,644x = 152,570 × 152,570
4. Step 4: Simplify right side
   98,644x = 23,277,604,900
5. Step 5: Solve for x
   x = 23,277,604,900/98,644
6. Step 6: Final answer
   x = 235,975.88