Finding the Third Proportional to 78,313 and 117,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,313 : 117,815.50 = 117,815.50 : x
2. Step 2: Convert to fraction form
   78,313/117,815.50 = 117,815.50/x
3. Step 3: Cross multiply
   78,313x = 117,815.50 × 117,815.50
4. Step 4: Simplify right side
   78,313x = 13,880,492,040.25
5. Step 5: Solve for x
   x = 13,880,492,040.25/78,313
6. Step 6: Final answer
   x = 177,243.78