Finding the Third Proportional to 56,924 and 82,238

Step by Step Solution

1. Step 1: Write the proportion equation
   56,924 : 82,238 = 82,238 : x
2. Step 2: Convert to fraction form
   56,924/82,238 = 82,238/x
3. Step 3: Cross multiply
   56,924x = 82,238 × 82,238
4. Step 4: Simplify right side
   56,924x = 6,763,088,644
5. Step 5: Solve for x
   x = 6,763,088,644/56,924
6. Step 6: Final answer
   x = 118,809.09