Finding the Third Proportional to 83,643.75 and 171,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,643.75 : 171,364.50 = 171,364.50 : x
2. Step 2: Convert to fraction form
   83,643.75/171,364.50 = 171,364.50/x
3. Step 3: Cross multiply
   83,643.75x = 171,364.50 × 171,364.50
4. Step 4: Simplify right side
   83,643.75x = 29,365,791,860.25
5. Step 5: Solve for x
   x = 29,365,791,860.25/83,643.75
6. Step 6: Final answer
   x = 351,081.72