Finding the Third Proportional to 91,188 and 189,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,188 : 189,622.50 = 189,622.50 : x
2. Step 2: Convert to fraction form
   91,188/189,622.50 = 189,622.50/x
3. Step 3: Cross multiply
   91,188x = 189,622.50 × 189,622.50
4. Step 4: Simplify right side
   91,188x = 35,956,692,506.25
5. Step 5: Solve for x
   x = 35,956,692,506.25/91,188
6. Step 6: Final answer
   x = 394,313.86