Finding the Third Proportional to 129,774 and 165,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,774 : 165,829.50 = 165,829.50 : x
2. Step 2: Convert to fraction form
   129,774/165,829.50 = 165,829.50/x
3. Step 3: Cross multiply
   129,774x = 165,829.50 × 165,829.50
4. Step 4: Simplify right side
   129,774x = 27,499,423,070.25
5. Step 5: Solve for x
   x = 27,499,423,070.25/129,774
6. Step 6: Final answer
   x = 211,902.41