Finding the Third Proportional to 83,106 and 162,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 162,931.50 = 162,931.50 : x
2. Step 2: Convert to fraction form
   83,106/162,931.50 = 162,931.50/x
3. Step 3: Cross multiply
   83,106x = 162,931.50 × 162,931.50
4. Step 4: Simplify right side
   83,106x = 26,546,673,692.25
5. Step 5: Solve for x
   x = 26,546,673,692.25/83,106
6. Step 6: Final answer
   x = 319,431.49