Finding the Third Proportional to 88,648.50 and 189,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,648.50 : 189,748.50 = 189,748.50 : x
2. Step 2: Convert to fraction form
   88,648.50/189,748.50 = 189,748.50/x
3. Step 3: Cross multiply
   88,648.50x = 189,748.50 × 189,748.50
4. Step 4: Simplify right side
   88,648.50x = 36,004,493,252.25
5. Step 5: Solve for x
   x = 36,004,493,252.25/88,648.50
6. Step 6: Final answer
   x = 406,148.93