Finding the Third Proportional to 88,214 and 191,008

Step by Step Solution

1. Step 1: Write the proportion equation
   88,214 : 191,008 = 191,008 : x
2. Step 2: Convert to fraction form
   88,214/191,008 = 191,008/x
3. Step 3: Cross multiply
   88,214x = 191,008 × 191,008
4. Step 4: Simplify right side
   88,214x = 36,484,056,064
5. Step 5: Solve for x
   x = 36,484,056,064/88,214
6. Step 6: Final answer
   x = 413,585.78