Finding the Third Proportional to 52,437.75 and 78,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,437.75 : 78,662.25 = 78,662.25 : x
2. Step 2: Convert to fraction form
   52,437.75/78,662.25 = 78,662.25/x
3. Step 3: Cross multiply
   52,437.75x = 78,662.25 × 78,662.25
4. Step 4: Simplify right side
   52,437.75x = 6,187,749,575.06
5. Step 5: Solve for x
   x = 6,187,749,575.06/52,437.75
6. Step 6: Final answer
   x = 118,001.81