Finding the Third Proportional to 46,132 and 101,066

Step by Step Solution

1. Step 1: Write the proportion equation
   46,132 : 101,066 = 101,066 : x
2. Step 2: Convert to fraction form
   46,132/101,066 = 101,066/x
3. Step 3: Cross multiply
   46,132x = 101,066 × 101,066
4. Step 4: Simplify right side
   46,132x = 10,214,336,356
5. Step 5: Solve for x
   x = 10,214,336,356/46,132
6. Step 6: Final answer
   x = 221,415.42