Finding the Third Proportional to 99,648 and 148,053

Step by Step Solution

1. Step 1: Write the proportion equation
   99,648 : 148,053 = 148,053 : x
2. Step 2: Convert to fraction form
   99,648/148,053 = 148,053/x
3. Step 3: Cross multiply
   99,648x = 148,053 × 148,053
4. Step 4: Simplify right side
   99,648x = 21,919,690,809
5. Step 5: Solve for x
   x = 21,919,690,809/99,648
6. Step 6: Final answer
   x = 219,971.21