Finding the Third Proportional to 78,362 and 117,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,362 : 117,540.50 = 117,540.50 : x
2. Step 2: Convert to fraction form
   78,362/117,540.50 = 117,540.50/x
3. Step 3: Cross multiply
   78,362x = 117,540.50 × 117,540.50
4. Step 4: Simplify right side
   78,362x = 13,815,769,140.25
5. Step 5: Solve for x
   x = 13,815,769,140.25/78,362
6. Step 6: Final answer
   x = 176,307.00