Finding the Third Proportional to 102,062 and 145,155

Step by Step Solution

1. Step 1: Write the proportion equation
   102,062 : 145,155 = 145,155 : x
2. Step 2: Convert to fraction form
   102,062/145,155 = 145,155/x
3. Step 3: Cross multiply
   102,062x = 145,155 × 145,155
4. Step 4: Simplify right side
   102,062x = 21,069,974,025
5. Step 5: Solve for x
   x = 21,069,974,025/102,062
6. Step 6: Final answer
   x = 206,442.89