Finding the Third Proportional to 103,632 and 164,789

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 164,789 = 164,789 : x
2. Step 2: Convert to fraction form
   103,632/164,789 = 164,789/x
3. Step 3: Cross multiply
   103,632x = 164,789 × 164,789
4. Step 4: Simplify right side
   103,632x = 27,155,414,521
5. Step 5: Solve for x
   x = 27,155,414,521/103,632
6. Step 6: Final answer
   x = 262,036.96