Finding the Third Proportional to 77,950 and 114,007

Step by Step Solution

1. Step 1: Write the proportion equation
   77,950 : 114,007 = 114,007 : x
2. Step 2: Convert to fraction form
   77,950/114,007 = 114,007/x
3. Step 3: Cross multiply
   77,950x = 114,007 × 114,007
4. Step 4: Simplify right side
   77,950x = 12,997,596,049
5. Step 5: Solve for x
   x = 12,997,596,049/77,950
6. Step 6: Final answer
   x = 166,742.73