Finding the Third Proportional to 46,772 and 101,076

Step by Step Solution

1. Step 1: Write the proportion equation
   46,772 : 101,076 = 101,076 : x
2. Step 2: Convert to fraction form
   46,772/101,076 = 101,076/x
3. Step 3: Cross multiply
   46,772x = 101,076 × 101,076
4. Step 4: Simplify right side
   46,772x = 10,216,357,776
5. Step 5: Solve for x
   x = 10,216,357,776/46,772
6. Step 6: Final answer
   x = 218,428.93