Finding the Third Proportional to 106,001 and 148,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,001 : 148,561.50 = 148,561.50 : x
2. Step 2: Convert to fraction form
   106,001/148,561.50 = 148,561.50/x
3. Step 3: Cross multiply
   106,001x = 148,561.50 × 148,561.50
4. Step 4: Simplify right side
   106,001x = 22,070,519,282.25
5. Step 5: Solve for x
   x = 22,070,519,282.25/106,001
6. Step 6: Final answer
   x = 208,210.48