Finding the Third Proportional to 83,106 and 171,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 171,112.50 = 171,112.50 : x
2. Step 2: Convert to fraction form
   83,106/171,112.50 = 171,112.50/x
3. Step 3: Cross multiply
   83,106x = 171,112.50 × 171,112.50
4. Step 4: Simplify right side
   83,106x = 29,279,487,656.25
5. Step 5: Solve for x
   x = 29,279,487,656.25/83,106
6. Step 6: Final answer
   x = 352,314.97