Finding the Third Proportional to 52,954.50 and 78,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,954.50 : 78,199.75 = 78,199.75 : x
2. Step 2: Convert to fraction form
   52,954.50/78,199.75 = 78,199.75/x
3. Step 3: Cross multiply
   52,954.50x = 78,199.75 × 78,199.75
4. Step 4: Simplify right side
   52,954.50x = 6,115,200,900.06
5. Step 5: Solve for x
   x = 6,115,200,900.06/52,954.50
6. Step 6: Final answer
   x = 115,480.29