Finding the Third Proportional to 87,312 and 188,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,312 : 188,533.50 = 188,533.50 : x
2. Step 2: Convert to fraction form
   87,312/188,533.50 = 188,533.50/x
3. Step 3: Cross multiply
   87,312x = 188,533.50 × 188,533.50
4. Step 4: Simplify right side
   87,312x = 35,544,880,622.25
5. Step 5: Solve for x
   x = 35,544,880,622.25/87,312
6. Step 6: Final answer
   x = 407,101.89