Finding the Third Proportional to 46,189 and 99,501

Step by Step Solution

1. Step 1: Write the proportion equation
   46,189 : 99,501 = 99,501 : x
2. Step 2: Convert to fraction form
   46,189/99,501 = 99,501/x
3. Step 3: Cross multiply
   46,189x = 99,501 × 99,501
4. Step 4: Simplify right side
   46,189x = 9,900,449,001
5. Step 5: Solve for x
   x = 9,900,449,001/46,189
6. Step 6: Final answer
   x = 214,346.47