Finding the Third Proportional to 78,270 and 117,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,270 : 117,763.50 = 117,763.50 : x
2. Step 2: Convert to fraction form
   78,270/117,763.50 = 117,763.50/x
3. Step 3: Cross multiply
   78,270x = 117,763.50 × 117,763.50
4. Step 4: Simplify right side
   78,270x = 13,868,241,932.25
5. Step 5: Solve for x
   x = 13,868,241,932.25/78,270
6. Step 6: Final answer
   x = 177,184.64