Finding the Third Proportional to 78,201 and 115,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,201 : 115,843.50 = 115,843.50 : x
2. Step 2: Convert to fraction form
   78,201/115,843.50 = 115,843.50/x
3. Step 3: Cross multiply
   78,201x = 115,843.50 × 115,843.50
4. Step 4: Simplify right side
   78,201x = 13,419,716,492.25
5. Step 5: Solve for x
   x = 13,419,716,492.25/78,201
6. Step 6: Final answer
   x = 171,605.43