Finding the Third Proportional to 83,145.75 and 147,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,145.75 : 147,823.50 = 147,823.50 : x
2. Step 2: Convert to fraction form
   83,145.75/147,823.50 = 147,823.50/x
3. Step 3: Cross multiply
   83,145.75x = 147,823.50 × 147,823.50
4. Step 4: Simplify right side
   83,145.75x = 21,851,787,152.25
5. Step 5: Solve for x
   x = 21,851,787,152.25/83,145.75
6. Step 6: Final answer
   x = 262,813.04