Finding the Third Proportional to 77,952 and 114,012

Step by Step Solution

1. Step 1: Write the proportion equation
   77,952 : 114,012 = 114,012 : x
2. Step 2: Convert to fraction form
   77,952/114,012 = 114,012/x
3. Step 3: Cross multiply
   77,952x = 114,012 × 114,012
4. Step 4: Simplify right side
   77,952x = 12,998,736,144
5. Step 5: Solve for x
   x = 12,998,736,144/77,952
6. Step 6: Final answer
   x = 166,753.08