Finding the Third Proportional to 52,263 and 78,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,263 : 78,880.50 = 78,880.50 : x
2. Step 2: Convert to fraction form
   52,263/78,880.50 = 78,880.50/x
3. Step 3: Cross multiply
   52,263x = 78,880.50 × 78,880.50
4. Step 4: Simplify right side
   52,263x = 6,222,133,280.25
5. Step 5: Solve for x
   x = 6,222,133,280.25/52,263
6. Step 6: Final answer
   x = 119,054.27