Finding the Third Proportional to 78,138.56 and 116,692.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78,138.56 : 116,692.88 = 116,692.88 : x
2. Step 2: Convert to fraction form
   78,138.56/116,692.88 = 116,692.88/x
3. Step 3: Cross multiply
   78,138.56x = 116,692.88 × 116,692.88
4. Step 4: Simplify right side
   78,138.56x = 13,617,227,075.77
5. Step 5: Solve for x
   x = 13,617,227,075.77/78,138.56
6. Step 6: Final answer
   x = 174,270.25