Finding the Third Proportional to 78,041 and 116,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,041 : 116,847.50 = 116,847.50 : x
2. Step 2: Convert to fraction form
   78,041/116,847.50 = 116,847.50/x
3. Step 3: Cross multiply
   78,041x = 116,847.50 × 116,847.50
4. Step 4: Simplify right side
   78,041x = 13,653,338,256.25
5. Step 5: Solve for x
   x = 13,653,338,256.25/78,041
6. Step 6: Final answer
   x = 174,950.84