Finding the Third Proportional to 99,384 and 148,644

Step by Step Solution

1. Step 1: Write the proportion equation
   99,384 : 148,644 = 148,644 : x
2. Step 2: Convert to fraction form
   99,384/148,644 = 148,644/x
3. Step 3: Cross multiply
   99,384x = 148,644 × 148,644
4. Step 4: Simplify right side
   99,384x = 22,095,038,736
5. Step 5: Solve for x
   x = 22,095,038,736/99,384
6. Step 6: Final answer
   x = 222,319.88