Finding the Third Proportional to 53,061 and 114,411

Step by Step Solution

1. Step 1: Write the proportion equation
   53,061 : 114,411 = 114,411 : x
2. Step 2: Convert to fraction form
   53,061/114,411 = 114,411/x
3. Step 3: Cross multiply
   53,061x = 114,411 × 114,411
4. Step 4: Simplify right side
   53,061x = 13,089,876,921
5. Step 5: Solve for x
   x = 13,089,876,921/53,061
6. Step 6: Final answer
   x = 246,694.88