Finding the Third Proportional to 83,526.75 and 171,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,526.75 : 171,130.50 = 171,130.50 : x
2. Step 2: Convert to fraction form
   83,526.75/171,130.50 = 171,130.50/x
3. Step 3: Cross multiply
   83,526.75x = 171,130.50 × 171,130.50
4. Step 4: Simplify right side
   83,526.75x = 29,285,648,030.25
5. Step 5: Solve for x
   x = 29,285,648,030.25/83,526.75
6. Step 6: Final answer
   x = 350,614.00