Finding the Third Proportional to 34,200 and 84,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,200 : 84,343.50 = 84,343.50 : x
2. Step 2: Convert to fraction form
   34,200/84,343.50 = 84,343.50/x
3. Step 3: Cross multiply
   34,200x = 84,343.50 × 84,343.50
4. Step 4: Simplify right side
   34,200x = 7,113,825,992.25
5. Step 5: Solve for x
   x = 7,113,825,992.25/34,200
6. Step 6: Final answer
   x = 208,006.61