Finding the Third Proportional to 78,808.50 and 118,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,808.50 : 118,294.50 = 118,294.50 : x
2. Step 2: Convert to fraction form
   78,808.50/118,294.50 = 118,294.50/x
3. Step 3: Cross multiply
   78,808.50x = 118,294.50 × 118,294.50
4. Step 4: Simplify right side
   78,808.50x = 13,993,588,730.25
5. Step 5: Solve for x
   x = 13,993,588,730.25/78,808.50
6. Step 6: Final answer
   x = 177,564.46