Finding the Third Proportional to 87,308 and 188,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,308 : 188,527.50 = 188,527.50 : x
2. Step 2: Convert to fraction form
   87,308/188,527.50 = 188,527.50/x
3. Step 3: Cross multiply
   87,308x = 188,527.50 × 188,527.50
4. Step 4: Simplify right side
   87,308x = 35,542,618,256.25
5. Step 5: Solve for x
   x = 35,542,618,256.25/87,308
6. Step 6: Final answer
   x = 407,094.63