Finding the Third Proportional to 52,019.72 and 78,784.31

Step by Step Solution

1. Step 1: Write the proportion equation
   52,019.72 : 78,784.31 = 78,784.31 : x
2. Step 2: Convert to fraction form
   52,019.72/78,784.31 = 78,784.31/x
3. Step 3: Cross multiply
   52,019.72x = 78,784.31 × 78,784.31
4. Step 4: Simplify right side
   52,019.72x = 6,206,967,896.10
5. Step 5: Solve for x
   x = 6,206,967,896.10/52,019.72
6. Step 6: Final answer
   x = 119,319.52