Finding the Third Proportional to 200,926 and 272,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,926 : 272,883.50 = 272,883.50 : x
2. Step 2: Convert to fraction form
   200,926/272,883.50 = 272,883.50/x
3. Step 3: Cross multiply
   200,926x = 272,883.50 × 272,883.50
4. Step 4: Simplify right side
   200,926x = 74,465,404,572.25
5. Step 5: Solve for x
   x = 74,465,404,572.25/200,926
6. Step 6: Final answer
   x = 370,611.09