Finding the Third Proportional to 106,002 and 148,563

Step by Step Solution

1. Step 1: Write the proportion equation
   106,002 : 148,563 = 148,563 : x
2. Step 2: Convert to fraction form
   106,002/148,563 = 148,563/x
3. Step 3: Cross multiply
   106,002x = 148,563 × 148,563
4. Step 4: Simplify right side
   106,002x = 22,070,964,969
5. Step 5: Solve for x
   x = 22,070,964,969/106,002
6. Step 6: Final answer
   x = 208,212.72