Finding the Third Proportional to 77,456.25 and 114,743.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,456.25 : 114,743.25 = 114,743.25 : x
2. Step 2: Convert to fraction form
   77,456.25/114,743.25 = 114,743.25/x
3. Step 3: Cross multiply
   77,456.25x = 114,743.25 × 114,743.25
4. Step 4: Simplify right side
   77,456.25x = 13,166,013,420.56
5. Step 5: Solve for x
   x = 13,166,013,420.56/77,456.25
6. Step 6: Final answer
   x = 169,980.00