Finding the Third Proportional to 194,201 and 293,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,201 : 293,081.50 = 293,081.50 : x
2. Step 2: Convert to fraction form
   194,201/293,081.50 = 293,081.50/x
3. Step 3: Cross multiply
   194,201x = 293,081.50 × 293,081.50
4. Step 4: Simplify right side
   194,201x = 85,896,765,642.25
5. Step 5: Solve for x
   x = 85,896,765,642.25/194,201
6. Step 6: Final answer
   x = 442,308.57