Finding the Third Proportional to 45,746 and 99,506

Step by Step Solution

1. Step 1: Write the proportion equation
   45,746 : 99,506 = 99,506 : x
2. Step 2: Convert to fraction form
   45,746/99,506 = 99,506/x
3. Step 3: Cross multiply
   45,746x = 99,506 × 99,506
4. Step 4: Simplify right side
   45,746x = 9,901,444,036
5. Step 5: Solve for x
   x = 9,901,444,036/45,746
6. Step 6: Final answer
   x = 216,443.93