Finding the Third Proportional to 101,526 and 148,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,526 : 148,825.50 = 148,825.50 : x
2. Step 2: Convert to fraction form
   101,526/148,825.50 = 148,825.50/x
3. Step 3: Cross multiply
   101,526x = 148,825.50 × 148,825.50
4. Step 4: Simplify right side
   101,526x = 22,149,029,450.25
5. Step 5: Solve for x
   x = 22,149,029,450.25/101,526
6. Step 6: Final answer
   x = 218,161.16