Finding the Third Proportional to 90,898.50 and 186,308.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,898.50 : 186,308.25 = 186,308.25 : x
2. Step 2: Convert to fraction form
   90,898.50/186,308.25 = 186,308.25/x
3. Step 3: Cross multiply
   90,898.50x = 186,308.25 × 186,308.25
4. Step 4: Simplify right side
   90,898.50x = 34,710,764,018.06
5. Step 5: Solve for x
   x = 34,710,764,018.06/90,898.50
6. Step 6: Final answer
   x = 381,862.89