Finding the Third Proportional to 105,632 and 234,881

Step by Step Solution

1. Step 1: Write the proportion equation
   105,632 : 234,881 = 234,881 : x
2. Step 2: Convert to fraction form
   105,632/234,881 = 234,881/x
3. Step 3: Cross multiply
   105,632x = 234,881 × 234,881
4. Step 4: Simplify right side
   105,632x = 55,169,084,161
5. Step 5: Solve for x
   x = 55,169,084,161/105,632
6. Step 6: Final answer
   x = 522,276.24