Finding the Third Proportional to 45,583 and 98,456

Step by Step Solution

1. Step 1: Write the proportion equation
   45,583 : 98,456 = 98,456 : x
2. Step 2: Convert to fraction form
   45,583/98,456 = 98,456/x
3. Step 3: Cross multiply
   45,583x = 98,456 × 98,456
4. Step 4: Simplify right side
   45,583x = 9,693,583,936
5. Step 5: Solve for x
   x = 9,693,583,936/45,583
6. Step 6: Final answer
   x = 212,657.88