Finding the Third Proportional to 78,138.75 and 116,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,138.75 : 116,692.50 = 116,692.50 : x
2. Step 2: Convert to fraction form
   78,138.75/116,692.50 = 116,692.50/x
3. Step 3: Cross multiply
   78,138.75x = 116,692.50 × 116,692.50
4. Step 4: Simplify right side
   78,138.75x = 13,617,139,556.25
5. Step 5: Solve for x
   x = 13,617,139,556.25/78,138.75
6. Step 6: Final answer
   x = 174,268.72