Finding the Third Proportional to 87,583.50 and 191,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,583.50 : 191,525.50 = 191,525.50 : x
2. Step 2: Convert to fraction form
   87,583.50/191,525.50 = 191,525.50/x
3. Step 3: Cross multiply
   87,583.50x = 191,525.50 × 191,525.50
4. Step 4: Simplify right side
   87,583.50x = 36,682,017,150.25
5. Step 5: Solve for x
   x = 36,682,017,150.25/87,583.50
6. Step 6: Final answer
   x = 418,823.38