Finding the Third Proportional to 82,829 and 129,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,829 : 129,164.50 = 129,164.50 : x
2. Step 2: Convert to fraction form
   82,829/129,164.50 = 129,164.50/x
3. Step 3: Cross multiply
   82,829x = 129,164.50 × 129,164.50
4. Step 4: Simplify right side
   82,829x = 16,683,468,060.25
5. Step 5: Solve for x
   x = 16,683,468,060.25/82,829
6. Step 6: Final answer
   x = 201,420.61