Finding the Third Proportional to 91,788 and 198,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,788 : 198,886.50 = 198,886.50 : x
2. Step 2: Convert to fraction form
   91,788/198,886.50 = 198,886.50/x
3. Step 3: Cross multiply
   91,788x = 198,886.50 × 198,886.50
4. Step 4: Simplify right side
   91,788x = 39,555,839,882.25
5. Step 5: Solve for x
   x = 39,555,839,882.25/91,788
6. Step 6: Final answer
   x = 430,947.84