Finding the Third Proportional to 78,390 and 117,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,390 : 117,763.50 = 117,763.50 : x
2. Step 2: Convert to fraction form
   78,390/117,763.50 = 117,763.50/x
3. Step 3: Cross multiply
   78,390x = 117,763.50 × 117,763.50
4. Step 4: Simplify right side
   78,390x = 13,868,241,932.25
5. Step 5: Solve for x
   x = 13,868,241,932.25/78,390
6. Step 6: Final answer
   x = 176,913.41