Finding the Third Proportional to 83,933 and 171,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,933 : 171,742.50 = 171,742.50 : x
2. Step 2: Convert to fraction form
   83,933/171,742.50 = 171,742.50/x
3. Step 3: Cross multiply
   83,933x = 171,742.50 × 171,742.50
4. Step 4: Simplify right side
   83,933x = 29,495,486,306.25
5. Step 5: Solve for x
   x = 29,495,486,306.25/83,933
6. Step 6: Final answer
   x = 351,417.04