Finding the Third Proportional to 76,026.50 and 117,730

Step by Step Solution

1. Step 1: Write the proportion equation
   76,026.50 : 117,730 = 117,730 : x
2. Step 2: Convert to fraction form
   76,026.50/117,730 = 117,730/x
3. Step 3: Cross multiply
   76,026.50x = 117,730 × 117,730
4. Step 4: Simplify right side
   76,026.50x = 13,860,352,900
5. Step 5: Solve for x
   x = 13,860,352,900/76,026.50
6. Step 6: Final answer
   x = 182,309.50