Finding the Third Proportional to 75,946.50 and 117,900

Step by Step Solution

1. Step 1: Write the proportion equation
   75,946.50 : 117,900 = 117,900 : x
2. Step 2: Convert to fraction form
   75,946.50/117,900 = 117,900/x
3. Step 3: Cross multiply
   75,946.50x = 117,900 × 117,900
4. Step 4: Simplify right side
   75,946.50x = 13,900,410,000
5. Step 5: Solve for x
   x = 13,900,410,000/75,946.50
6. Step 6: Final answer
   x = 183,028.97