Finding the Third Proportional to 52,022.25 and 78,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,022.25 : 78,580.50 = 78,580.50 : x
2. Step 2: Convert to fraction form
   52,022.25/78,580.50 = 78,580.50/x
3. Step 3: Cross multiply
   52,022.25x = 78,580.50 × 78,580.50
4. Step 4: Simplify right side
   52,022.25x = 6,174,894,980.25
5. Step 5: Solve for x
   x = 6,174,894,980.25/52,022.25
6. Step 6: Final answer
   x = 118,697.19