Finding the Third Proportional to 83,146.50 and 147,825

Step by Step Solution

1. Step 1: Write the proportion equation
   83,146.50 : 147,825 = 147,825 : x
2. Step 2: Convert to fraction form
   83,146.50/147,825 = 147,825/x
3. Step 3: Cross multiply
   83,146.50x = 147,825 × 147,825
4. Step 4: Simplify right side
   83,146.50x = 21,852,230,625
5. Step 5: Solve for x
   x = 21,852,230,625/83,146.50
6. Step 6: Final answer
   x = 262,816.00