Finding the Third Proportional to 102,076 and 145,172

Step by Step Solution

1. Step 1: Write the proportion equation
   102,076 : 145,172 = 145,172 : x
2. Step 2: Convert to fraction form
   102,076/145,172 = 145,172/x
3. Step 3: Cross multiply
   102,076x = 145,172 × 145,172
4. Step 4: Simplify right side
   102,076x = 21,074,909,584
5. Step 5: Solve for x
   x = 21,074,909,584/102,076
6. Step 6: Final answer
   x = 206,462.93