Finding the Third Proportional to 100,636 and 148,038

Step by Step Solution

1. Step 1: Write the proportion equation
   100,636 : 148,038 = 148,038 : x
2. Step 2: Convert to fraction form
   100,636/148,038 = 148,038/x
3. Step 3: Cross multiply
   100,636x = 148,038 × 148,038
4. Step 4: Simplify right side
   100,636x = 21,915,249,444
5. Step 5: Solve for x
   x = 21,915,249,444/100,636
6. Step 6: Final answer
   x = 217,767.49