Finding the Third Proportional to 98,590 and 152,944

Step by Step Solution

1. Step 1: Write the proportion equation
   98,590 : 152,944 = 152,944 : x
2. Step 2: Convert to fraction form
   98,590/152,944 = 152,944/x
3. Step 3: Cross multiply
   98,590x = 152,944 × 152,944
4. Step 4: Simplify right side
   98,590x = 23,391,867,136
5. Step 5: Solve for x
   x = 23,391,867,136/98,590
6. Step 6: Final answer
   x = 237,264.10