Finding the Third Proportional to 76,307.50 and 116,730

Step by Step Solution

1. Step 1: Write the proportion equation
   76,307.50 : 116,730 = 116,730 : x
2. Step 2: Convert to fraction form
   76,307.50/116,730 = 116,730/x
3. Step 3: Cross multiply
   76,307.50x = 116,730 × 116,730
4. Step 4: Simplify right side
   76,307.50x = 13,625,892,900
5. Step 5: Solve for x
   x = 13,625,892,900/76,307.50
6. Step 6: Final answer
   x = 178,565.58