Finding the Third Proportional to 52,970.20 and 78,538.99

Step by Step Solution

1. Step 1: Write the proportion equation
   52,970.20 : 78,538.99 = 78,538.99 : x
2. Step 2: Convert to fraction form
   52,970.20/78,538.99 = 78,538.99/x
3. Step 3: Cross multiply
   52,970.20x = 78,538.99 × 78,538.99
4. Step 4: Simplify right side
   52,970.20x = 6,168,373,293.83
5. Step 5: Solve for x
   x = 6,168,373,293.83/52,970.20
6. Step 6: Final answer
   x = 116,449.87