Finding the Third Proportional to 191,928 and 293,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,928 : 293,758.50 = 293,758.50 : x
2. Step 2: Convert to fraction form
   191,928/293,758.50 = 293,758.50/x
3. Step 3: Cross multiply
   191,928x = 293,758.50 × 293,758.50
4. Step 4: Simplify right side
   191,928x = 86,294,056,322.25
5. Step 5: Solve for x
   x = 86,294,056,322.25/191,928
6. Step 6: Final answer
   x = 449,616.82