Finding the Third Proportional to 45,642 and 99,690

Step by Step Solution

1. Step 1: Write the proportion equation
   45,642 : 99,690 = 99,690 : x
2. Step 2: Convert to fraction form
   45,642/99,690 = 99,690/x
3. Step 3: Cross multiply
   45,642x = 99,690 × 99,690
4. Step 4: Simplify right side
   45,642x = 9,938,096,100
5. Step 5: Solve for x
   x = 9,938,096,100/45,642
6. Step 6: Final answer
   x = 217,740.15