Finding the Third Proportional to 101,172 and 145,732

Step by Step Solution

1. Step 1: Write the proportion equation
   101,172 : 145,732 = 145,732 : x
2. Step 2: Convert to fraction form
   101,172/145,732 = 145,732/x
3. Step 3: Cross multiply
   101,172x = 145,732 × 145,732
4. Step 4: Simplify right side
   101,172x = 21,237,815,824
5. Step 5: Solve for x
   x = 21,237,815,824/101,172
6. Step 6: Final answer
   x = 209,917.92