Finding the Third Proportional to 86,748 and 189,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,748 : 189,262.50 = 189,262.50 : x
2. Step 2: Convert to fraction form
   86,748/189,262.50 = 189,262.50/x
3. Step 3: Cross multiply
   86,748x = 189,262.50 × 189,262.50
4. Step 4: Simplify right side
   86,748x = 35,820,293,906.25
5. Step 5: Solve for x
   x = 35,820,293,906.25/86,748
6. Step 6: Final answer
   x = 412,923.57