Finding the Third Proportional to 78,311.81 and 117,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,311.81 : 117,814.50 = 117,814.50 : x
2. Step 2: Convert to fraction form
   78,311.81/117,814.50 = 117,814.50/x
3. Step 3: Cross multiply
   78,311.81x = 117,814.50 × 117,814.50
4. Step 4: Simplify right side
   78,311.81x = 13,880,256,410.25
5. Step 5: Solve for x
   x = 13,880,256,410.25/78,311.81
6. Step 6: Final answer
   x = 177,243.46