Finding the Third Proportional to 52,264.50 and 78,882.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,264.50 : 78,882.75 = 78,882.75 : x
2. Step 2: Convert to fraction form
   52,264.50/78,882.75 = 78,882.75/x
3. Step 3: Cross multiply
   52,264.50x = 78,882.75 × 78,882.75
4. Step 4: Simplify right side
   52,264.50x = 6,222,488,247.56
5. Step 5: Solve for x
   x = 6,222,488,247.56/52,264.50
6. Step 6: Final answer
   x = 119,057.64